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Finding the Fourth Proportional to 2,294.56, 3,439.48 and 907.33

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Solution

The fourth proportional to 2,294.56, 3,439.48 and 907.33 is: 1,360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.56 : 3,439.48 = 907.33 : x
  2. Step 2: Convert to fraction form
    2,294.56/3,439.48 = 907.33/x
  3. Step 3: Cross multiply
    2,294.56x = 3,439.48 × 907.33
  4. Step 4: Simplify right side
    2,294.56x = 3,120,721.65
  5. Step 5: Solve for x
    x = 3,120,721.65/2,294.56
  6. Step 6: Final answer
    x = 1,360.06

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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.