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Finding the Fourth Proportional to 2,061.42, 2,844.81 and 1,129.92

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Solution

The fourth proportional to 2,061.42, 2,844.81 and 1,129.92 is: 1,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.42 : 2,844.81 = 1,129.92 : x
  2. Step 2: Convert to fraction form
    2,061.42/2,844.81 = 1,129.92/x
  3. Step 3: Cross multiply
    2,061.42x = 2,844.81 × 1,129.92
  4. Step 4: Simplify right side
    2,061.42x = 3,214,407.72
  5. Step 5: Solve for x
    x = 3,214,407.72/2,061.42
  6. Step 6: Final answer
    x = 1,559.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.