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Finding the Fourth Proportional to 2,261.42, 3,390.91 and 700.75

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Solution

The fourth proportional to 2,261.42, 3,390.91 and 700.75 is: 1,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.42 : 3,390.91 = 700.75 : x
  2. Step 2: Convert to fraction form
    2,261.42/3,390.91 = 700.75/x
  3. Step 3: Cross multiply
    2,261.42x = 3,390.91 × 700.75
  4. Step 4: Simplify right side
    2,261.42x = 2,376,182.67
  5. Step 5: Solve for x
    x = 2,376,182.67/2,261.42
  6. Step 6: Final answer
    x = 1,050.75

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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.