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Finding the Fourth Proportional to 3,212.69, 4,432.70 and 1,886.14

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Solution

The fourth proportional to 3,212.69, 4,432.70 and 1,886.14 is: 2,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.69 : 4,432.70 = 1,886.14 : x
  2. Step 2: Convert to fraction form
    3,212.69/4,432.70 = 1,886.14/x
  3. Step 3: Cross multiply
    3,212.69x = 4,432.70 × 1,886.14
  4. Step 4: Simplify right side
    3,212.69x = 8,360,672.80
  5. Step 5: Solve for x
    x = 8,360,672.80/3,212.69
  6. Step 6: Final answer
    x = 2,602.39

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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.