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Finding the Fourth Proportional to 1,642.38, 2,457.42 and 912.47

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Solution

The fourth proportional to 1,642.38, 2,457.42 and 912.47 is: 1,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.38 : 2,457.42 = 912.47 : x
  2. Step 2: Convert to fraction form
    1,642.38/2,457.42 = 912.47/x
  3. Step 3: Cross multiply
    1,642.38x = 2,457.42 × 912.47
  4. Step 4: Simplify right side
    1,642.38x = 2,242,322.03
  5. Step 5: Solve for x
    x = 2,242,322.03/1,642.38
  6. Step 6: Final answer
    x = 1,365.29

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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.