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Finding the Fourth Proportional to 2,595.44, 3,892.68 and 1,358.96

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Solution

The fourth proportional to 2,595.44, 3,892.68 and 1,358.96 is: 2,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.44 : 3,892.68 = 1,358.96 : x
  2. Step 2: Convert to fraction form
    2,595.44/3,892.68 = 1,358.96/x
  3. Step 3: Cross multiply
    2,595.44x = 3,892.68 × 1,358.96
  4. Step 4: Simplify right side
    2,595.44x = 5,289,996.41
  5. Step 5: Solve for x
    x = 5,289,996.41/2,595.44
  6. Step 6: Final answer
    x = 2,038.19

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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.