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Finding the Fourth Proportional to 2,475.72, 3,713.62 and 1,177.32

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Solution

The fourth proportional to 2,475.72, 3,713.62 and 1,177.32 is: 1,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.72 : 3,713.62 = 1,177.32 : x
  2. Step 2: Convert to fraction form
    2,475.72/3,713.62 = 1,177.32/x
  3. Step 3: Cross multiply
    2,475.72x = 3,713.62 × 1,177.32
  4. Step 4: Simplify right side
    2,475.72x = 4,372,119.10
  5. Step 5: Solve for x
    x = 4,372,119.10/2,475.72
  6. Step 6: Final answer
    x = 1,766.00

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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.