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Finding the Fourth Proportional to 3,114.64, 4,673.52 and 1,471

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Solution

The fourth proportional to 3,114.64, 4,673.52 and 1,471 is: 2,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.64 : 4,673.52 = 1,471 : x
  2. Step 2: Convert to fraction form
    3,114.64/4,673.52 = 1,471/x
  3. Step 3: Cross multiply
    3,114.64x = 4,673.52 × 1,471
  4. Step 4: Simplify right side
    3,114.64x = 6,874,747.92
  5. Step 5: Solve for x
    x = 6,874,747.92/3,114.64
  6. Step 6: Final answer
    x = 2,207.24

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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.