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Finding the Fourth Proportional to 1,773.86, 2,661.06 and 619.34

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Solution

The fourth proportional to 1,773.86, 2,661.06 and 619.34 is: 929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.86 : 2,661.06 = 619.34 : x
  2. Step 2: Convert to fraction form
    1,773.86/2,661.06 = 619.34/x
  3. Step 3: Cross multiply
    1,773.86x = 2,661.06 × 619.34
  4. Step 4: Simplify right side
    1,773.86x = 1,648,100.90
  5. Step 5: Solve for x
    x = 1,648,100.90/1,773.86
  6. Step 6: Final answer
    x = 929.10

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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.