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Finding the Fourth Proportional to 1,465.70, 2,025.20 and 1,153.44

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Solution

The fourth proportional to 1,465.70, 2,025.20 and 1,153.44 is: 1,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.70 : 2,025.20 = 1,153.44 : x
  2. Step 2: Convert to fraction form
    1,465.70/2,025.20 = 1,153.44/x
  3. Step 3: Cross multiply
    1,465.70x = 2,025.20 × 1,153.44
  4. Step 4: Simplify right side
    1,465.70x = 2,335,949.57
  5. Step 5: Solve for x
    x = 2,335,949.57/1,465.70
  6. Step 6: Final answer
    x = 1,593.75

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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.