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Finding the Fourth Proportional to 3,178.02, 4,756.66 and 2,874.90

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Solution

The fourth proportional to 3,178.02, 4,756.66 and 2,874.90 is: 4,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.02 : 4,756.66 = 2,874.90 : x
  2. Step 2: Convert to fraction form
    3,178.02/4,756.66 = 2,874.90/x
  3. Step 3: Cross multiply
    3,178.02x = 4,756.66 × 2,874.90
  4. Step 4: Simplify right side
    3,178.02x = 13,674,921.83
  5. Step 5: Solve for x
    x = 13,674,921.83/3,178.02
  6. Step 6: Final answer
    x = 4,302.97

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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.