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Finding the Fourth Proportional to 1,592.34, 2,389.44 and 667.83

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Solution

The fourth proportional to 1,592.34, 2,389.44 and 667.83 is: 1,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.34 : 2,389.44 = 667.83 : x
  2. Step 2: Convert to fraction form
    1,592.34/2,389.44 = 667.83/x
  3. Step 3: Cross multiply
    1,592.34x = 2,389.44 × 667.83
  4. Step 4: Simplify right side
    1,592.34x = 1,595,737.74
  5. Step 5: Solve for x
    x = 1,595,737.74/1,592.34
  6. Step 6: Final answer
    x = 1,002.13

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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.