Home / 2,042.40-2,818.89-1,158.42

Finding the Fourth Proportional to 2,042.40, 2,818.89 and 1,158.42

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Solution

The fourth proportional to 2,042.40, 2,818.89 and 1,158.42 is: 1,598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.40 : 2,818.89 = 1,158.42 : x
  2. Step 2: Convert to fraction form
    2,042.40/2,818.89 = 1,158.42/x
  3. Step 3: Cross multiply
    2,042.40x = 2,818.89 × 1,158.42
  4. Step 4: Simplify right side
    2,042.40x = 3,265,458.55
  5. Step 5: Solve for x
    x = 3,265,458.55/2,042.40
  6. Step 6: Final answer
    x = 1,598.83

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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.