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Finding the Fourth Proportional to 3,116.71, 4,301.04 and 1,700.39

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Solution

The fourth proportional to 3,116.71, 4,301.04 and 1,700.39 is: 2,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.71 : 4,301.04 = 1,700.39 : x
  2. Step 2: Convert to fraction form
    3,116.71/4,301.04 = 1,700.39/x
  3. Step 3: Cross multiply
    3,116.71x = 4,301.04 × 1,700.39
  4. Step 4: Simplify right side
    3,116.71x = 7,313,445.41
  5. Step 5: Solve for x
    x = 7,313,445.41/3,116.71
  6. Step 6: Final answer
    x = 2,346.53

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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.