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Finding the Fourth Proportional to 3,127.74, 4,686.75 and 1,178.88

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Solution

The fourth proportional to 3,127.74, 4,686.75 and 1,178.88 is: 1,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.74 : 4,686.75 = 1,178.88 : x
  2. Step 2: Convert to fraction form
    3,127.74/4,686.75 = 1,178.88/x
  3. Step 3: Cross multiply
    3,127.74x = 4,686.75 × 1,178.88
  4. Step 4: Simplify right side
    3,127.74x = 5,525,115.84
  5. Step 5: Solve for x
    x = 5,525,115.84/3,127.74
  6. Step 6: Final answer
    x = 1,766.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.