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Finding the Fourth Proportional to 1,566.53, 2,346.94 and 732.05

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Solution

The fourth proportional to 1,566.53, 2,346.94 and 732.05 is: 1,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.53 : 2,346.94 = 732.05 : x
  2. Step 2: Convert to fraction form
    1,566.53/2,346.94 = 732.05/x
  3. Step 3: Cross multiply
    1,566.53x = 2,346.94 × 732.05
  4. Step 4: Simplify right side
    1,566.53x = 1,718,077.43
  5. Step 5: Solve for x
    x = 1,718,077.43/1,566.53
  6. Step 6: Final answer
    x = 1,096.74

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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.