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Finding the Fourth Proportional to 3,165.75, 4,370.36 and 1,988.01

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Solution

The fourth proportional to 3,165.75, 4,370.36 and 1,988.01 is: 2,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.75 : 4,370.36 = 1,988.01 : x
  2. Step 2: Convert to fraction form
    3,165.75/4,370.36 = 1,988.01/x
  3. Step 3: Cross multiply
    3,165.75x = 4,370.36 × 1,988.01
  4. Step 4: Simplify right side
    3,165.75x = 8,688,319.38
  5. Step 5: Solve for x
    x = 8,688,319.38/3,165.75
  6. Step 6: Final answer
    x = 2,744.47

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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.