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Finding the Fourth Proportional to 2,477.91, 3,712.92 and 1,307.87

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Solution

The fourth proportional to 2,477.91, 3,712.92 and 1,307.87 is: 1,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.91 : 3,712.92 = 1,307.87 : x
  2. Step 2: Convert to fraction form
    2,477.91/3,712.92 = 1,307.87/x
  3. Step 3: Cross multiply
    2,477.91x = 3,712.92 × 1,307.87
  4. Step 4: Simplify right side
    2,477.91x = 4,856,016.68
  5. Step 5: Solve for x
    x = 4,856,016.68/2,477.91
  6. Step 6: Final answer
    x = 1,959.72

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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.