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Finding the Fourth Proportional to 2,281.74, 3,150.90 and 2,158.98

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Solution

The fourth proportional to 2,281.74, 3,150.90 and 2,158.98 is: 2,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.74 : 3,150.90 = 2,158.98 : x
  2. Step 2: Convert to fraction form
    2,281.74/3,150.90 = 2,158.98/x
  3. Step 3: Cross multiply
    2,281.74x = 3,150.90 × 2,158.98
  4. Step 4: Simplify right side
    2,281.74x = 6,802,730.08
  5. Step 5: Solve for x
    x = 6,802,730.08/2,281.74
  6. Step 6: Final answer
    x = 2,981.38

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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.