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Finding the Fourth Proportional to 2,053.52, 2,833.20 and 1,169.28

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Solution

The fourth proportional to 2,053.52, 2,833.20 and 1,169.28 is: 1,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.52 : 2,833.20 = 1,169.28 : x
  2. Step 2: Convert to fraction form
    2,053.52/2,833.20 = 1,169.28/x
  3. Step 3: Cross multiply
    2,053.52x = 2,833.20 × 1,169.28
  4. Step 4: Simplify right side
    2,053.52x = 3,312,804.10
  5. Step 5: Solve for x
    x = 3,312,804.10/2,053.52
  6. Step 6: Final answer
    x = 1,613.23

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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.