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Finding the Fourth Proportional to 2,039.42, 3,056.99 and 869.15

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Solution

The fourth proportional to 2,039.42, 3,056.99 and 869.15 is: 1,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.42 : 3,056.99 = 869.15 : x
  2. Step 2: Convert to fraction form
    2,039.42/3,056.99 = 869.15/x
  3. Step 3: Cross multiply
    2,039.42x = 3,056.99 × 869.15
  4. Step 4: Simplify right side
    2,039.42x = 2,656,963.23
  5. Step 5: Solve for x
    x = 2,656,963.23/2,039.42
  6. Step 6: Final answer
    x = 1,302.81

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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.