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Finding the Fourth Proportional to 2,497.74, 3,747.02 and 937.87

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Solution

The fourth proportional to 2,497.74, 3,747.02 and 937.87 is: 1,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.74 : 3,747.02 = 937.87 : x
  2. Step 2: Convert to fraction form
    2,497.74/3,747.02 = 937.87/x
  3. Step 3: Cross multiply
    2,497.74x = 3,747.02 × 937.87
  4. Step 4: Simplify right side
    2,497.74x = 3,514,210.62
  5. Step 5: Solve for x
    x = 3,514,210.62/2,497.74
  6. Step 6: Final answer
    x = 1,406.95

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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.