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Finding the Fourth Proportional to 2,902.59, 4,358.61 and 2,612.61

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Solution

The fourth proportional to 2,902.59, 4,358.61 and 2,612.61 is: 3,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.59 : 4,358.61 = 2,612.61 : x
  2. Step 2: Convert to fraction form
    2,902.59/4,358.61 = 2,612.61/x
  3. Step 3: Cross multiply
    2,902.59x = 4,358.61 × 2,612.61
  4. Step 4: Simplify right side
    2,902.59x = 11,387,348.07
  5. Step 5: Solve for x
    x = 11,387,348.07/2,902.59
  6. Step 6: Final answer
    x = 3,923.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.