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Finding the Fourth Proportional to 2,053.59, 2,830.98 and 1,634.11

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Solution

The fourth proportional to 2,053.59, 2,830.98 and 1,634.11 is: 2,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.59 : 2,830.98 = 1,634.11 : x
  2. Step 2: Convert to fraction form
    2,053.59/2,830.98 = 1,634.11/x
  3. Step 3: Cross multiply
    2,053.59x = 2,830.98 × 1,634.11
  4. Step 4: Simplify right side
    2,053.59x = 4,626,132.73
  5. Step 5: Solve for x
    x = 4,626,132.73/2,053.59
  6. Step 6: Final answer
    x = 2,252.71

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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.