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Finding the Fourth Proportional to 2,475.75, 3,714.02 and 1,176.78

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Solution

The fourth proportional to 2,475.75, 3,714.02 and 1,176.78 is: 1,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.75 : 3,714.02 = 1,176.78 : x
  2. Step 2: Convert to fraction form
    2,475.75/3,714.02 = 1,176.78/x
  3. Step 3: Cross multiply
    2,475.75x = 3,714.02 × 1,176.78
  4. Step 4: Simplify right side
    2,475.75x = 4,370,578.57
  5. Step 5: Solve for x
    x = 4,370,578.57/2,475.75
  6. Step 6: Final answer
    x = 1,765.36

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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.