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Finding the Fourth Proportional to 2,425.76, 3,636.82 and 781.36

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Solution

The fourth proportional to 2,425.76, 3,636.82 and 781.36 is: 1,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.76 : 3,636.82 = 781.36 : x
  2. Step 2: Convert to fraction form
    2,425.76/3,636.82 = 781.36/x
  3. Step 3: Cross multiply
    2,425.76x = 3,636.82 × 781.36
  4. Step 4: Simplify right side
    2,425.76x = 2,841,665.68
  5. Step 5: Solve for x
    x = 2,841,665.68/2,425.76
  6. Step 6: Final answer
    x = 1,171.45

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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.