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Finding the Fourth Proportional to 2,560.56, 3,841.56 and 1,867.92

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Solution

The fourth proportional to 2,560.56, 3,841.56 and 1,867.92 is: 2,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.56 : 3,841.56 = 1,867.92 : x
  2. Step 2: Convert to fraction form
    2,560.56/3,841.56 = 1,867.92/x
  3. Step 3: Cross multiply
    2,560.56x = 3,841.56 × 1,867.92
  4. Step 4: Simplify right side
    2,560.56x = 7,175,726.76
  5. Step 5: Solve for x
    x = 7,175,726.76/2,560.56
  6. Step 6: Final answer
    x = 2,802.41

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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.