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Finding the Fourth Proportional to 1,760.14, 2,432.21 and 1,674.74

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Solution

The fourth proportional to 1,760.14, 2,432.21 and 1,674.74 is: 2,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.14 : 2,432.21 = 1,674.74 : x
  2. Step 2: Convert to fraction form
    1,760.14/2,432.21 = 1,674.74/x
  3. Step 3: Cross multiply
    1,760.14x = 2,432.21 × 1,674.74
  4. Step 4: Simplify right side
    1,760.14x = 4,073,319.38
  5. Step 5: Solve for x
    x = 4,073,319.38/1,760.14
  6. Step 6: Final answer
    x = 2,314.20

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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.