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Finding the Fourth Proportional to 2,489.04, 3,434.64 and 1,440.96

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Solution

The fourth proportional to 2,489.04, 3,434.64 and 1,440.96 is: 1,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.04 : 3,434.64 = 1,440.96 : x
  2. Step 2: Convert to fraction form
    2,489.04/3,434.64 = 1,440.96/x
  3. Step 3: Cross multiply
    2,489.04x = 3,434.64 × 1,440.96
  4. Step 4: Simplify right side
    2,489.04x = 4,949,178.85
  5. Step 5: Solve for x
    x = 4,949,178.85/2,489.04
  6. Step 6: Final answer
    x = 1,988.39

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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.