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Finding the Fourth Proportional to 1,799,364.16, 2,697,712.80 and 1,089,224.16

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Solution

The fourth proportional to 1,799,364.16, 2,697,712.80 and 1,089,224.16 is: 1,633,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799,364.16 : 2,697,712.80 = 1,089,224.16 : x
  2. Step 2: Convert to fraction form
    1,799,364.16/2,697,712.80 = 1,089,224.16/x
  3. Step 3: Cross multiply
    1,799,364.16x = 2,697,712.80 × 1,089,224.16
  4. Step 4: Simplify right side
    1,799,364.16x = 2,938,413,958,501.25
  5. Step 5: Solve for x
    x = 2,938,413,958,501.25/1,799,364.16
  6. Step 6: Final answer
    x = 1,633,029.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.