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Finding the Fourth Proportional to 1,788.09, 2,681.05 and 800.72

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Solution

The fourth proportional to 1,788.09, 2,681.05 and 800.72 is: 1,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.09 : 2,681.05 = 800.72 : x
  2. Step 2: Convert to fraction form
    1,788.09/2,681.05 = 800.72/x
  3. Step 3: Cross multiply
    1,788.09x = 2,681.05 × 800.72
  4. Step 4: Simplify right side
    1,788.09x = 2,146,775.06
  5. Step 5: Solve for x
    x = 2,146,775.06/1,788.09
  6. Step 6: Final answer
    x = 1,200.60

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