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Finding the Fourth Proportional to 2,395.85, 3,594.92 and 1,009.53

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Solution

The fourth proportional to 2,395.85, 3,594.92 and 1,009.53 is: 1,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.85 : 3,594.92 = 1,009.53 : x
  2. Step 2: Convert to fraction form
    2,395.85/3,594.92 = 1,009.53/x
  3. Step 3: Cross multiply
    2,395.85x = 3,594.92 × 1,009.53
  4. Step 4: Simplify right side
    2,395.85x = 3,629,174.54
  5. Step 5: Solve for x
    x = 3,629,174.54/2,395.85
  6. Step 6: Final answer
    x = 1,514.78

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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.