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Finding the Fourth Proportional to 3,138.71, 4,703.07 and 1,657.88

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Solution

The fourth proportional to 3,138.71, 4,703.07 and 1,657.88 is: 2,484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.71 : 4,703.07 = 1,657.88 : x
  2. Step 2: Convert to fraction form
    3,138.71/4,703.07 = 1,657.88/x
  3. Step 3: Cross multiply
    3,138.71x = 4,703.07 × 1,657.88
  4. Step 4: Simplify right side
    3,138.71x = 7,797,113.93
  5. Step 5: Solve for x
    x = 7,797,113.93/3,138.71
  6. Step 6: Final answer
    x = 2,484.18

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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.