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Finding the Fourth Proportional to 2,468.64, 3,710.16 and 2,177.04

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Solution

The fourth proportional to 2,468.64, 3,710.16 and 2,177.04 is: 3,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.64 : 3,710.16 = 2,177.04 : x
  2. Step 2: Convert to fraction form
    2,468.64/3,710.16 = 2,177.04/x
  3. Step 3: Cross multiply
    2,468.64x = 3,710.16 × 2,177.04
  4. Step 4: Simplify right side
    2,468.64x = 8,077,166.73
  5. Step 5: Solve for x
    x = 8,077,166.73/2,468.64
  6. Step 6: Final answer
    x = 3,271.91

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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.