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Finding the Fourth Proportional to 1,468.72, 2,026.02 and 908.74

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Solution

The fourth proportional to 1,468.72, 2,026.02 and 908.74 is: 1,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.72 : 2,026.02 = 908.74 : x
  2. Step 2: Convert to fraction form
    1,468.72/2,026.02 = 908.74/x
  3. Step 3: Cross multiply
    1,468.72x = 2,026.02 × 908.74
  4. Step 4: Simplify right side
    1,468.72x = 1,841,125.41
  5. Step 5: Solve for x
    x = 1,841,125.41/1,468.72
  6. Step 6: Final answer
    x = 1,253.56

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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.