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Finding the Fourth Proportional to 2,555.86, 3,841.08 and 1,258.24

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Solution

The fourth proportional to 2,555.86, 3,841.08 and 1,258.24 is: 1,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.86 : 3,841.08 = 1,258.24 : x
  2. Step 2: Convert to fraction form
    2,555.86/3,841.08 = 1,258.24/x
  3. Step 3: Cross multiply
    2,555.86x = 3,841.08 × 1,258.24
  4. Step 4: Simplify right side
    2,555.86x = 4,833,000.50
  5. Step 5: Solve for x
    x = 4,833,000.50/2,555.86
  6. Step 6: Final answer
    x = 1,890.95

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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.