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Finding the Fourth Proportional to 2,592.10, 3,889.94 and 1,032.18

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Solution

The fourth proportional to 2,592.10, 3,889.94 and 1,032.18 is: 1,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.10 : 3,889.94 = 1,032.18 : x
  2. Step 2: Convert to fraction form
    2,592.10/3,889.94 = 1,032.18/x
  3. Step 3: Cross multiply
    2,592.10x = 3,889.94 × 1,032.18
  4. Step 4: Simplify right side
    2,592.10x = 4,015,118.27
  5. Step 5: Solve for x
    x = 4,015,118.27/2,592.10
  6. Step 6: Final answer
    x = 1,548.98

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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.