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Finding the Fourth Proportional to 2,595.90, 3,892.89 and 952.02

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Solution

The fourth proportional to 2,595.90, 3,892.89 and 952.02 is: 1,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.90 : 3,892.89 = 952.02 : x
  2. Step 2: Convert to fraction form
    2,595.90/3,892.89 = 952.02/x
  3. Step 3: Cross multiply
    2,595.90x = 3,892.89 × 952.02
  4. Step 4: Simplify right side
    2,595.90x = 3,706,109.14
  5. Step 5: Solve for x
    x = 3,706,109.14/2,595.90
  6. Step 6: Final answer
    x = 1,427.68

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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.