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Finding the Fourth Proportional to 2,595.00, 3,892.47 and 1,207.56

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Solution

The fourth proportional to 2,595.00, 3,892.47 and 1,207.56 is: 1,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.00 : 3,892.47 = 1,207.56 : x
  2. Step 2: Convert to fraction form
    2,595.00/3,892.47 = 1,207.56/x
  3. Step 3: Cross multiply
    2,595.00x = 3,892.47 × 1,207.56
  4. Step 4: Simplify right side
    2,595.00x = 4,700,371.61
  5. Step 5: Solve for x
    x = 4,700,371.61/2,595.00
  6. Step 6: Final answer
    x = 1,811.32

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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.