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Finding the Fourth Proportional to 2,155.51, 2,974.92 and 1,316.69

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Solution

The fourth proportional to 2,155.51, 2,974.92 and 1,316.69 is: 1,817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.51 : 2,974.92 = 1,316.69 : x
  2. Step 2: Convert to fraction form
    2,155.51/2,974.92 = 1,316.69/x
  3. Step 3: Cross multiply
    2,155.51x = 2,974.92 × 1,316.69
  4. Step 4: Simplify right side
    2,155.51x = 3,917,062.90
  5. Step 5: Solve for x
    x = 3,917,062.90/2,155.51
  6. Step 6: Final answer
    x = 1,817.23

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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.