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Finding the Fourth Proportional to 1,468.24, 2,025.40 and 908.52

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Solution

The fourth proportional to 1,468.24, 2,025.40 and 908.52 is: 1,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.24 : 2,025.40 = 908.52 : x
  2. Step 2: Convert to fraction form
    1,468.24/2,025.40 = 908.52/x
  3. Step 3: Cross multiply
    1,468.24x = 2,025.40 × 908.52
  4. Step 4: Simplify right side
    1,468.24x = 1,840,116.41
  5. Step 5: Solve for x
    x = 1,840,116.41/1,468.24
  6. Step 6: Final answer
    x = 1,253.28

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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.