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Finding the Fourth Proportional to 3,126.71, 4,689.16 and 1,178.46

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Solution

The fourth proportional to 3,126.71, 4,689.16 and 1,178.46 is: 1,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.71 : 4,689.16 = 1,178.46 : x
  2. Step 2: Convert to fraction form
    3,126.71/4,689.16 = 1,178.46/x
  3. Step 3: Cross multiply
    3,126.71x = 4,689.16 × 1,178.46
  4. Step 4: Simplify right side
    3,126.71x = 5,525,984.55
  5. Step 5: Solve for x
    x = 5,525,984.55/3,126.71
  6. Step 6: Final answer
    x = 1,767.35

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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.