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Finding the Fourth Proportional to 1,538.47, 2,123.04 and 908.92

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Solution

The fourth proportional to 1,538.47, 2,123.04 and 908.92 is: 1,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.47 : 2,123.04 = 908.92 : x
  2. Step 2: Convert to fraction form
    1,538.47/2,123.04 = 908.92/x
  3. Step 3: Cross multiply
    1,538.47x = 2,123.04 × 908.92
  4. Step 4: Simplify right side
    1,538.47x = 1,929,673.52
  5. Step 5: Solve for x
    x = 1,929,673.52/1,538.47
  6. Step 6: Final answer
    x = 1,254.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.