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Finding the Fourth Proportional to 1,522.89, 2,283.81 and 1,002.87

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Solution

The fourth proportional to 1,522.89, 2,283.81 and 1,002.87 is: 1,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.89 : 2,283.81 = 1,002.87 : x
  2. Step 2: Convert to fraction form
    1,522.89/2,283.81 = 1,002.87/x
  3. Step 3: Cross multiply
    1,522.89x = 2,283.81 × 1,002.87
  4. Step 4: Simplify right side
    1,522.89x = 2,290,364.53
  5. Step 5: Solve for x
    x = 2,290,364.53/1,522.89
  6. Step 6: Final answer
    x = 1,503.96

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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.