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Finding the Fourth Proportional to 1,423.87, 2,131.35 and 922.87

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Solution

The fourth proportional to 1,423.87, 2,131.35 and 922.87 is: 1,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.87 : 2,131.35 = 922.87 : x
  2. Step 2: Convert to fraction form
    1,423.87/2,131.35 = 922.87/x
  3. Step 3: Cross multiply
    1,423.87x = 2,131.35 × 922.87
  4. Step 4: Simplify right side
    1,423.87x = 1,966,958.97
  5. Step 5: Solve for x
    x = 1,966,958.97/1,423.87
  6. Step 6: Final answer
    x = 1,381.42

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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.