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Finding the Fourth Proportional to 2,489, 3,437.70 and 1,701.68

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Solution

The fourth proportional to 2,489, 3,437.70 and 1,701.68 is: 2,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489 : 3,437.70 = 1,701.68 : x
  2. Step 2: Convert to fraction form
    2,489/3,437.70 = 1,701.68/x
  3. Step 3: Cross multiply
    2,489x = 3,437.70 × 1,701.68
  4. Step 4: Simplify right side
    2,489x = 5,849,865.34
  5. Step 5: Solve for x
    x = 5,849,865.34/2,489
  6. Step 6: Final answer
    x = 2,350.29

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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.