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Finding the Fourth Proportional to 2,348.46, 3,240.88 and 1,340.15

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Solution

The fourth proportional to 2,348.46, 3,240.88 and 1,340.15 is: 1,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.46 : 3,240.88 = 1,340.15 : x
  2. Step 2: Convert to fraction form
    2,348.46/3,240.88 = 1,340.15/x
  3. Step 3: Cross multiply
    2,348.46x = 3,240.88 × 1,340.15
  4. Step 4: Simplify right side
    2,348.46x = 4,343,245.78
  5. Step 5: Solve for x
    x = 4,343,245.78/2,348.46
  6. Step 6: Final answer
    x = 1,849.40

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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.