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Finding the Fourth Proportional to 1,671, 2,509.36 and 1,025.52

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Solution

The fourth proportional to 1,671, 2,509.36 and 1,025.52 is: 1,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671 : 2,509.36 = 1,025.52 : x
  2. Step 2: Convert to fraction form
    1,671/2,509.36 = 1,025.52/x
  3. Step 3: Cross multiply
    1,671x = 2,509.36 × 1,025.52
  4. Step 4: Simplify right side
    1,671x = 2,573,398.87
  5. Step 5: Solve for x
    x = 2,573,398.87/1,671
  6. Step 6: Final answer
    x = 1,540.04

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Why These Related Problems?

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