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Finding the Fourth Proportional to 2,592.90, 3,888.21 and 949.02

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Solution

The fourth proportional to 2,592.90, 3,888.21 and 949.02 is: 1,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.90 : 3,888.21 = 949.02 : x
  2. Step 2: Convert to fraction form
    2,592.90/3,888.21 = 949.02/x
  3. Step 3: Cross multiply
    2,592.90x = 3,888.21 × 949.02
  4. Step 4: Simplify right side
    2,592.90x = 3,689,989.05
  5. Step 5: Solve for x
    x = 3,689,989.05/2,592.90
  6. Step 6: Final answer
    x = 1,423.11

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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.