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Finding the Fourth Proportional to 1,586.73, 2,380.10 and 491.07

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Solution

The fourth proportional to 1,586.73, 2,380.10 and 491.07 is: 736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.73 : 2,380.10 = 491.07 : x
  2. Step 2: Convert to fraction form
    1,586.73/2,380.10 = 491.07/x
  3. Step 3: Cross multiply
    1,586.73x = 2,380.10 × 491.07
  4. Step 4: Simplify right side
    1,586.73x = 1,168,795.71
  5. Step 5: Solve for x
    x = 1,168,795.71/1,586.73
  6. Step 6: Final answer
    x = 736.61

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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.