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Finding the Fourth Proportional to 2,118.15, 3,177.19 and 657.30

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Solution

The fourth proportional to 2,118.15, 3,177.19 and 657.30 is: 985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.15 : 3,177.19 = 657.30 : x
  2. Step 2: Convert to fraction form
    2,118.15/3,177.19 = 657.30/x
  3. Step 3: Cross multiply
    2,118.15x = 3,177.19 × 657.30
  4. Step 4: Simplify right side
    2,118.15x = 2,088,379.72
  5. Step 5: Solve for x
    x = 2,088,379.72/2,118.15
  6. Step 6: Final answer
    x = 985.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.