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Finding the Fourth Proportional to 1,457.72, 2,188.74 and 1,387.24

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Solution

The fourth proportional to 1,457.72, 2,188.74 and 1,387.24 is: 2,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.72 : 2,188.74 = 1,387.24 : x
  2. Step 2: Convert to fraction form
    1,457.72/2,188.74 = 1,387.24/x
  3. Step 3: Cross multiply
    1,457.72x = 2,188.74 × 1,387.24
  4. Step 4: Simplify right side
    1,457.72x = 3,036,307.68
  5. Step 5: Solve for x
    x = 3,036,307.68/1,457.72
  6. Step 6: Final answer
    x = 2,082.92

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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.