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Finding the Fourth Proportional to 1,366.44, 2,052.09 and 1,124.70

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Solution

The fourth proportional to 1,366.44, 2,052.09 and 1,124.70 is: 1,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.44 : 2,052.09 = 1,124.70 : x
  2. Step 2: Convert to fraction form
    1,366.44/2,052.09 = 1,124.70/x
  3. Step 3: Cross multiply
    1,366.44x = 2,052.09 × 1,124.70
  4. Step 4: Simplify right side
    1,366.44x = 2,307,985.62
  5. Step 5: Solve for x
    x = 2,307,985.62/1,366.44
  6. Step 6: Final answer
    x = 1,689.05

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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.