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Finding the Fourth Proportional to 3,061.14, 4,591.74 and 752.64

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Solution

The fourth proportional to 3,061.14, 4,591.74 and 752.64 is: 1,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.14 : 4,591.74 = 752.64 : x
  2. Step 2: Convert to fraction form
    3,061.14/4,591.74 = 752.64/x
  3. Step 3: Cross multiply
    3,061.14x = 4,591.74 × 752.64
  4. Step 4: Simplify right side
    3,061.14x = 3,455,927.19
  5. Step 5: Solve for x
    x = 3,455,927.19/3,061.14
  6. Step 6: Final answer
    x = 1,128.97

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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.