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Finding the Fourth Proportional to 3,176.52, 4,756.62 and 2,077.68

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Solution

The fourth proportional to 3,176.52, 4,756.62 and 2,077.68 is: 3,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.52 : 4,756.62 = 2,077.68 : x
  2. Step 2: Convert to fraction form
    3,176.52/4,756.62 = 2,077.68/x
  3. Step 3: Cross multiply
    3,176.52x = 4,756.62 × 2,077.68
  4. Step 4: Simplify right side
    3,176.52x = 9,882,734.24
  5. Step 5: Solve for x
    x = 9,882,734.24/3,176.52
  6. Step 6: Final answer
    x = 3,111.18

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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.