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Finding the Fourth Proportional to 2,713.80, 3,743.40 and 1,718.40

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Solution

The fourth proportional to 2,713.80, 3,743.40 and 1,718.40 is: 2,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.80 : 3,743.40 = 1,718.40 : x
  2. Step 2: Convert to fraction form
    2,713.80/3,743.40 = 1,718.40/x
  3. Step 3: Cross multiply
    2,713.80x = 3,743.40 × 1,718.40
  4. Step 4: Simplify right side
    2,713.80x = 6,432,658.56
  5. Step 5: Solve for x
    x = 6,432,658.56/2,713.80
  6. Step 6: Final answer
    x = 2,370.35

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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.