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Finding the Fourth Proportional to 2,532.08, 3,494.40 and 1,910

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Solution

The fourth proportional to 2,532.08, 3,494.40 and 1,910 is: 2,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.08 : 3,494.40 = 1,910 : x
  2. Step 2: Convert to fraction form
    2,532.08/3,494.40 = 1,910/x
  3. Step 3: Cross multiply
    2,532.08x = 3,494.40 × 1,910
  4. Step 4: Simplify right side
    2,532.08x = 6,674,304
  5. Step 5: Solve for x
    x = 6,674,304/2,532.08
  6. Step 6: Final answer
    x = 2,635.90

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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.