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Finding the Fourth Proportional to 2,461.74, 3,397.02 and 1,414.14

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Solution

The fourth proportional to 2,461.74, 3,397.02 and 1,414.14 is: 1,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.74 : 3,397.02 = 1,414.14 : x
  2. Step 2: Convert to fraction form
    2,461.74/3,397.02 = 1,414.14/x
  3. Step 3: Cross multiply
    2,461.74x = 3,397.02 × 1,414.14
  4. Step 4: Simplify right side
    2,461.74x = 4,803,861.86
  5. Step 5: Solve for x
    x = 4,803,861.86/2,461.74
  6. Step 6: Final answer
    x = 1,951.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.