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Finding the Fourth Proportional to 1,423.90, 2,136.26 and 590.81

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Solution

The fourth proportional to 1,423.90, 2,136.26 and 590.81 is: 886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.90 : 2,136.26 = 590.81 : x
  2. Step 2: Convert to fraction form
    1,423.90/2,136.26 = 590.81/x
  3. Step 3: Cross multiply
    1,423.90x = 2,136.26 × 590.81
  4. Step 4: Simplify right side
    1,423.90x = 1,262,114.57
  5. Step 5: Solve for x
    x = 1,262,114.57/1,423.90
  6. Step 6: Final answer
    x = 886.38

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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.