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Finding the Fourth Proportional to 1,640.32, 2,456.52 and 1,023.25

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Solution

The fourth proportional to 1,640.32, 2,456.52 and 1,023.25 is: 1,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.32 : 2,456.52 = 1,023.25 : x
  2. Step 2: Convert to fraction form
    1,640.32/2,456.52 = 1,023.25/x
  3. Step 3: Cross multiply
    1,640.32x = 2,456.52 × 1,023.25
  4. Step 4: Simplify right side
    1,640.32x = 2,513,627.95
  5. Step 5: Solve for x
    x = 2,513,627.95/1,640.32
  6. Step 6: Final answer
    x = 1,532.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.