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Finding the Fourth Proportional to 2,294.71, 3,440.68 and 1,253.27

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Solution

The fourth proportional to 2,294.71, 3,440.68 and 1,253.27 is: 1,879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.71 : 3,440.68 = 1,253.27 : x
  2. Step 2: Convert to fraction form
    2,294.71/3,440.68 = 1,253.27/x
  3. Step 3: Cross multiply
    2,294.71x = 3,440.68 × 1,253.27
  4. Step 4: Simplify right side
    2,294.71x = 4,312,101.02
  5. Step 5: Solve for x
    x = 4,312,101.02/2,294.71
  6. Step 6: Final answer
    x = 1,879.15

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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.