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Finding the Fourth Proportional to 2,689.41, 3,713.01 and 1,759.53

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Solution

The fourth proportional to 2,689.41, 3,713.01 and 1,759.53 is: 2,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.41 : 3,713.01 = 1,759.53 : x
  2. Step 2: Convert to fraction form
    2,689.41/3,713.01 = 1,759.53/x
  3. Step 3: Cross multiply
    2,689.41x = 3,713.01 × 1,759.53
  4. Step 4: Simplify right side
    2,689.41x = 6,533,152.49
  5. Step 5: Solve for x
    x = 6,533,152.49/2,689.41
  6. Step 6: Final answer
    x = 2,429.21

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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.