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Finding the Fourth Proportional to 2,534.62, 3,498.14 and 1,828.80

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Solution

The fourth proportional to 2,534.62, 3,498.14 and 1,828.80 is: 2,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.62 : 3,498.14 = 1,828.80 : x
  2. Step 2: Convert to fraction form
    2,534.62/3,498.14 = 1,828.80/x
  3. Step 3: Cross multiply
    2,534.62x = 3,498.14 × 1,828.80
  4. Step 4: Simplify right side
    2,534.62x = 6,397,398.43
  5. Step 5: Solve for x
    x = 6,397,398.43/2,534.62
  6. Step 6: Final answer
    x = 2,524.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.