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Finding the Fourth Proportional to 2,074.69, 3,111.67 and 688.84

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Solution

The fourth proportional to 2,074.69, 3,111.67 and 688.84 is: 1,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.69 : 3,111.67 = 688.84 : x
  2. Step 2: Convert to fraction form
    2,074.69/3,111.67 = 688.84/x
  3. Step 3: Cross multiply
    2,074.69x = 3,111.67 × 688.84
  4. Step 4: Simplify right side
    2,074.69x = 2,143,442.76
  5. Step 5: Solve for x
    x = 2,143,442.76/2,074.69
  6. Step 6: Final answer
    x = 1,033.14

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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.