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Finding the Fourth Proportional to 2,697.74, 4,046.13 and 750.09

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Solution

The fourth proportional to 2,697.74, 4,046.13 and 750.09 is: 1,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.74 : 4,046.13 = 750.09 : x
  2. Step 2: Convert to fraction form
    2,697.74/4,046.13 = 750.09/x
  3. Step 3: Cross multiply
    2,697.74x = 4,046.13 × 750.09
  4. Step 4: Simplify right side
    2,697.74x = 3,034,961.65
  5. Step 5: Solve for x
    x = 3,034,961.65/2,697.74
  6. Step 6: Final answer
    x = 1,125.00

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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.