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Finding the Fourth Proportional to 2,475.96, 3,713.94 and 1,177.08

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Solution

The fourth proportional to 2,475.96, 3,713.94 and 1,177.08 is: 1,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.96 : 3,713.94 = 1,177.08 : x
  2. Step 2: Convert to fraction form
    2,475.96/3,713.94 = 1,177.08/x
  3. Step 3: Cross multiply
    2,475.96x = 3,713.94 × 1,177.08
  4. Step 4: Simplify right side
    2,475.96x = 4,371,604.50
  5. Step 5: Solve for x
    x = 4,371,604.50/2,475.96
  6. Step 6: Final answer
    x = 1,765.62

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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.