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Finding the Fourth Proportional to 1,701.16, 2,551.66 and 998.75

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Solution

The fourth proportional to 1,701.16, 2,551.66 and 998.75 is: 1,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.16 : 2,551.66 = 998.75 : x
  2. Step 2: Convert to fraction form
    1,701.16/2,551.66 = 998.75/x
  3. Step 3: Cross multiply
    1,701.16x = 2,551.66 × 998.75
  4. Step 4: Simplify right side
    1,701.16x = 2,548,470.43
  5. Step 5: Solve for x
    x = 2,548,470.43/1,701.16
  6. Step 6: Final answer
    x = 1,498.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.