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Finding the Fourth Proportional to 2,074.40, 3,112.06 and 688.14

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Solution

The fourth proportional to 2,074.40, 3,112.06 and 688.14 is: 1,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.40 : 3,112.06 = 688.14 : x
  2. Step 2: Convert to fraction form
    2,074.40/3,112.06 = 688.14/x
  3. Step 3: Cross multiply
    2,074.40x = 3,112.06 × 688.14
  4. Step 4: Simplify right side
    2,074.40x = 2,141,532.97
  5. Step 5: Solve for x
    x = 2,141,532.97/2,074.40
  6. Step 6: Final answer
    x = 1,032.36

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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.