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Finding the Fourth Proportional to 2,053.80, 2,834.28 and 1,169.55

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Solution

The fourth proportional to 2,053.80, 2,834.28 and 1,169.55 is: 1,614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.80 : 2,834.28 = 1,169.55 : x
  2. Step 2: Convert to fraction form
    2,053.80/2,834.28 = 1,169.55/x
  3. Step 3: Cross multiply
    2,053.80x = 2,834.28 × 1,169.55
  4. Step 4: Simplify right side
    2,053.80x = 3,314,832.17
  5. Step 5: Solve for x
    x = 3,314,832.17/2,053.80
  6. Step 6: Final answer
    x = 1,614.00

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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.