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Finding the Fourth Proportional to 3,196.31, 4,412.12 and 1,870.02

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Solution

The fourth proportional to 3,196.31, 4,412.12 and 1,870.02 is: 2,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.31 : 4,412.12 = 1,870.02 : x
  2. Step 2: Convert to fraction form
    3,196.31/4,412.12 = 1,870.02/x
  3. Step 3: Cross multiply
    3,196.31x = 4,412.12 × 1,870.02
  4. Step 4: Simplify right side
    3,196.31x = 8,250,743.29
  5. Step 5: Solve for x
    x = 8,250,743.29/3,196.31
  6. Step 6: Final answer
    x = 2,581.34

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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.