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Finding the Fourth Proportional to 2,040.42, 3,061.16 and 869.84

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Solution

The fourth proportional to 2,040.42, 3,061.16 and 869.84 is: 1,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.42 : 3,061.16 = 869.84 : x
  2. Step 2: Convert to fraction form
    2,040.42/3,061.16 = 869.84/x
  3. Step 3: Cross multiply
    2,040.42x = 3,061.16 × 869.84
  4. Step 4: Simplify right side
    2,040.42x = 2,662,717.76
  5. Step 5: Solve for x
    x = 2,662,717.76/2,040.42
  6. Step 6: Final answer
    x = 1,304.98

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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.