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Finding the Fourth Proportional to 1,601.35, 2,400.40 and 869.38

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Solution

The fourth proportional to 1,601.35, 2,400.40 and 869.38 is: 1,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.35 : 2,400.40 = 869.38 : x
  2. Step 2: Convert to fraction form
    1,601.35/2,400.40 = 869.38/x
  3. Step 3: Cross multiply
    1,601.35x = 2,400.40 × 869.38
  4. Step 4: Simplify right side
    1,601.35x = 2,086,859.75
  5. Step 5: Solve for x
    x = 2,086,859.75/1,601.35
  6. Step 6: Final answer
    x = 1,303.19

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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.