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Finding the Fourth Proportional to 3,117.51, 4,302.16 and 1,998.45

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Solution

The fourth proportional to 3,117.51, 4,302.16 and 1,998.45 is: 2,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.51 : 4,302.16 = 1,998.45 : x
  2. Step 2: Convert to fraction form
    3,117.51/4,302.16 = 1,998.45/x
  3. Step 3: Cross multiply
    3,117.51x = 4,302.16 × 1,998.45
  4. Step 4: Simplify right side
    3,117.51x = 8,597,635.52
  5. Step 5: Solve for x
    x = 8,597,635.52/3,117.51
  6. Step 6: Final answer
    x = 2,757.85

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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.