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Finding the Fourth Proportional to 1,344.66, 2,014.14 and 1,124.76

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Solution

The fourth proportional to 1,344.66, 2,014.14 and 1,124.76 is: 1,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.66 : 2,014.14 = 1,124.76 : x
  2. Step 2: Convert to fraction form
    1,344.66/2,014.14 = 1,124.76/x
  3. Step 3: Cross multiply
    1,344.66x = 2,014.14 × 1,124.76
  4. Step 4: Simplify right side
    1,344.66x = 2,265,424.11
  5. Step 5: Solve for x
    x = 2,265,424.11/1,344.66
  6. Step 6: Final answer
    x = 1,684.76

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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.