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Finding the Fourth Proportional to 1,366.09, 2,049.05 and 392.18

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Solution

The fourth proportional to 1,366.09, 2,049.05 and 392.18 is: 588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.09 : 2,049.05 = 392.18 : x
  2. Step 2: Convert to fraction form
    1,366.09/2,049.05 = 392.18/x
  3. Step 3: Cross multiply
    1,366.09x = 2,049.05 × 392.18
  4. Step 4: Simplify right side
    1,366.09x = 803,587.16
  5. Step 5: Solve for x
    x = 803,587.16/1,366.09
  6. Step 6: Final answer
    x = 588.24

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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.