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Finding the Fourth Proportional to 2,117.52, 2,921.92 and 1,173.23

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Solution

The fourth proportional to 2,117.52, 2,921.92 and 1,173.23 is: 1,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.52 : 2,921.92 = 1,173.23 : x
  2. Step 2: Convert to fraction form
    2,117.52/2,921.92 = 1,173.23/x
  3. Step 3: Cross multiply
    2,117.52x = 2,921.92 × 1,173.23
  4. Step 4: Simplify right side
    2,117.52x = 3,428,100.65
  5. Step 5: Solve for x
    x = 3,428,100.65/2,117.52
  6. Step 6: Final answer
    x = 1,618.92

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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.