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Finding the Fourth Proportional to 2,117.83, 3,177.05 and 657.11

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Solution

The fourth proportional to 2,117.83, 3,177.05 and 657.11 is: 985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.83 : 3,177.05 = 657.11 : x
  2. Step 2: Convert to fraction form
    2,117.83/3,177.05 = 657.11/x
  3. Step 3: Cross multiply
    2,117.83x = 3,177.05 × 657.11
  4. Step 4: Simplify right side
    2,117.83x = 2,087,671.33
  5. Step 5: Solve for x
    x = 2,087,671.33/2,117.83
  6. Step 6: Final answer
    x = 985.76

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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.