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Finding the Fourth Proportional to 2,458.50, 3,689.25 and 997.66

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Solution

The fourth proportional to 2,458.50, 3,689.25 and 997.66 is: 1,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.50 : 3,689.25 = 997.66 : x
  2. Step 2: Convert to fraction form
    2,458.50/3,689.25 = 997.66/x
  3. Step 3: Cross multiply
    2,458.50x = 3,689.25 × 997.66
  4. Step 4: Simplify right side
    2,458.50x = 3,680,617.16
  5. Step 5: Solve for x
    x = 3,680,617.16/2,458.50
  6. Step 6: Final answer
    x = 1,497.10

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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.