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Finding the Fourth Proportional to 2,506.33, 3,758.14 and 751.09

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Solution

The fourth proportional to 2,506.33, 3,758.14 and 751.09 is: 1,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.33 : 3,758.14 = 751.09 : x
  2. Step 2: Convert to fraction form
    2,506.33/3,758.14 = 751.09/x
  3. Step 3: Cross multiply
    2,506.33x = 3,758.14 × 751.09
  4. Step 4: Simplify right side
    2,506.33x = 2,822,697.62
  5. Step 5: Solve for x
    x = 2,822,697.62/2,506.33
  6. Step 6: Final answer
    x = 1,126.23

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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.