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Finding the Fourth Proportional to 2,074.97, 3,112.59 and 688.40

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Solution

The fourth proportional to 2,074.97, 3,112.59 and 688.40 is: 1,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.97 : 3,112.59 = 688.40 : x
  2. Step 2: Convert to fraction form
    2,074.97/3,112.59 = 688.40/x
  3. Step 3: Cross multiply
    2,074.97x = 3,112.59 × 688.40
  4. Step 4: Simplify right side
    2,074.97x = 2,142,706.96
  5. Step 5: Solve for x
    x = 2,142,706.96/2,074.97
  6. Step 6: Final answer
    x = 1,032.64

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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.