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Finding the Fourth Proportional to 2,074.76, 3,112.62 and 688.28

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Solution

The fourth proportional to 2,074.76, 3,112.62 and 688.28 is: 1,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.76 : 3,112.62 = 688.28 : x
  2. Step 2: Convert to fraction form
    2,074.76/3,112.62 = 688.28/x
  3. Step 3: Cross multiply
    2,074.76x = 3,112.62 × 688.28
  4. Step 4: Simplify right side
    2,074.76x = 2,142,354.09
  5. Step 5: Solve for x
    x = 2,142,354.09/2,074.76
  6. Step 6: Final answer
    x = 1,032.58

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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.