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Finding the Fourth Proportional to 1,586.49, 2,377.10 and 545.93

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Solution

The fourth proportional to 1,586.49, 2,377.10 and 545.93 is: 817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.49 : 2,377.10 = 545.93 : x
  2. Step 2: Convert to fraction form
    1,586.49/2,377.10 = 545.93/x
  3. Step 3: Cross multiply
    1,586.49x = 2,377.10 × 545.93
  4. Step 4: Simplify right side
    1,586.49x = 1,297,718.32
  5. Step 5: Solve for x
    x = 1,297,718.32/1,586.49
  6. Step 6: Final answer
    x = 817.98

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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.