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Finding the Fourth Proportional to 2,177.52, 3,005.24 and 1,246

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Solution

The fourth proportional to 2,177.52, 3,005.24 and 1,246 is: 1,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.52 : 3,005.24 = 1,246 : x
  2. Step 2: Convert to fraction form
    2,177.52/3,005.24 = 1,246/x
  3. Step 3: Cross multiply
    2,177.52x = 3,005.24 × 1,246
  4. Step 4: Simplify right side
    2,177.52x = 3,744,529.04
  5. Step 5: Solve for x
    x = 3,744,529.04/2,177.52
  6. Step 6: Final answer
    x = 1,719.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.