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Finding the Fourth Proportional to 1,423.85, 2,136.19 and 590.76

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Solution

The fourth proportional to 1,423.85, 2,136.19 and 590.76 is: 886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.85 : 2,136.19 = 590.76 : x
  2. Step 2: Convert to fraction form
    1,423.85/2,136.19 = 590.76/x
  3. Step 3: Cross multiply
    1,423.85x = 2,136.19 × 590.76
  4. Step 4: Simplify right side
    1,423.85x = 1,261,976.34
  5. Step 5: Solve for x
    x = 1,261,976.34/1,423.85
  6. Step 6: Final answer
    x = 886.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.