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Finding the Fourth Proportional to 1,642.89, 2,463.43 and 1,123.48

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Solution

The fourth proportional to 1,642.89, 2,463.43 and 1,123.48 is: 1,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.89 : 2,463.43 = 1,123.48 : x
  2. Step 2: Convert to fraction form
    1,642.89/2,463.43 = 1,123.48/x
  3. Step 3: Cross multiply
    1,642.89x = 2,463.43 × 1,123.48
  4. Step 4: Simplify right side
    1,642.89x = 2,767,614.34
  5. Step 5: Solve for x
    x = 2,767,614.34/1,642.89
  6. Step 6: Final answer
    x = 1,684.60

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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.