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Finding the Fourth Proportional to 2,437, 3,657.18 and 2,112.04

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Solution

The fourth proportional to 2,437, 3,657.18 and 2,112.04 is: 3,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437 : 3,657.18 = 2,112.04 : x
  2. Step 2: Convert to fraction form
    2,437/3,657.18 = 2,112.04/x
  3. Step 3: Cross multiply
    2,437x = 3,657.18 × 2,112.04
  4. Step 4: Simplify right side
    2,437x = 7,724,110.45
  5. Step 5: Solve for x
    x = 7,724,110.45/2,437
  6. Step 6: Final answer
    x = 3,169.52

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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.