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Finding the Fourth Proportional to 2,688.56, 4,032.80 and 740.60

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Solution

The fourth proportional to 2,688.56, 4,032.80 and 740.60 is: 1,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.56 : 4,032.80 = 740.60 : x
  2. Step 2: Convert to fraction form
    2,688.56/4,032.80 = 740.60/x
  3. Step 3: Cross multiply
    2,688.56x = 4,032.80 × 740.60
  4. Step 4: Simplify right side
    2,688.56x = 2,986,691.68
  5. Step 5: Solve for x
    x = 2,986,691.68/2,688.56
  6. Step 6: Final answer
    x = 1,110.89

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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.