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Finding the Fourth Proportional to 2,462.61, 3,689.81 and 1,730.88

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Solution

The fourth proportional to 2,462.61, 3,689.81 and 1,730.88 is: 2,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.61 : 3,689.81 = 1,730.88 : x
  2. Step 2: Convert to fraction form
    2,462.61/3,689.81 = 1,730.88/x
  3. Step 3: Cross multiply
    2,462.61x = 3,689.81 × 1,730.88
  4. Step 4: Simplify right side
    2,462.61x = 6,386,616.17
  5. Step 5: Solve for x
    x = 6,386,616.17/2,462.61
  6. Step 6: Final answer
    x = 2,593.43

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1.5x scale

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.