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Finding the Fourth Proportional to 2,140.74, 3,211.50 and 754.12

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Solution

The fourth proportional to 2,140.74, 3,211.50 and 754.12 is: 1,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.74 : 3,211.50 = 754.12 : x
  2. Step 2: Convert to fraction form
    2,140.74/3,211.50 = 754.12/x
  3. Step 3: Cross multiply
    2,140.74x = 3,211.50 × 754.12
  4. Step 4: Simplify right side
    2,140.74x = 2,421,863.22
  5. Step 5: Solve for x
    x = 2,421,863.22/2,140.74
  6. Step 6: Final answer
    x = 1,131.32

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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.