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Finding the Fourth Proportional to 1,585.69, 2,377.86 and 545.41

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Solution

The fourth proportional to 1,585.69, 2,377.86 and 545.41 is: 817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.69 : 2,377.86 = 545.41 : x
  2. Step 2: Convert to fraction form
    1,585.69/2,377.86 = 545.41/x
  3. Step 3: Cross multiply
    1,585.69x = 2,377.86 × 545.41
  4. Step 4: Simplify right side
    1,585.69x = 1,296,908.62
  5. Step 5: Solve for x
    x = 1,296,908.62/1,585.69
  6. Step 6: Final answer
    x = 817.88

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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.