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Finding the Fourth Proportional to 1,586.55, 2,381.21 and 613.33

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Solution

The fourth proportional to 1,586.55, 2,381.21 and 613.33 is: 920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.55 : 2,381.21 = 613.33 : x
  2. Step 2: Convert to fraction form
    1,586.55/2,381.21 = 613.33/x
  3. Step 3: Cross multiply
    1,586.55x = 2,381.21 × 613.33
  4. Step 4: Simplify right side
    1,586.55x = 1,460,467.53
  5. Step 5: Solve for x
    x = 1,460,467.53/1,586.55
  6. Step 6: Final answer
    x = 920.53

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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.