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Finding the Fourth Proportional to 1,468.53, 2,025.81 and 1,025.46

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Solution

The fourth proportional to 1,468.53, 2,025.81 and 1,025.46 is: 1,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.53 : 2,025.81 = 1,025.46 : x
  2. Step 2: Convert to fraction form
    1,468.53/2,025.81 = 1,025.46/x
  3. Step 3: Cross multiply
    1,468.53x = 2,025.81 × 1,025.46
  4. Step 4: Simplify right side
    1,468.53x = 2,077,387.12
  5. Step 5: Solve for x
    x = 2,077,387.12/1,468.53
  6. Step 6: Final answer
    x = 1,414.60

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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.