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Finding the Fourth Proportional to 2,074.68, 3,112.11 and 688.14

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Solution

The fourth proportional to 2,074.68, 3,112.11 and 688.14 is: 1,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.68 : 3,112.11 = 688.14 : x
  2. Step 2: Convert to fraction form
    2,074.68/3,112.11 = 688.14/x
  3. Step 3: Cross multiply
    2,074.68x = 3,112.11 × 688.14
  4. Step 4: Simplify right side
    2,074.68x = 2,141,567.38
  5. Step 5: Solve for x
    x = 2,141,567.38/2,074.68
  6. Step 6: Final answer
    x = 1,032.24

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1.5x scale

Why These Related Problems?

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