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Finding the Fourth Proportional to 2,294.62, 3,439.56 and 907.40

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Solution

The fourth proportional to 2,294.62, 3,439.56 and 907.40 is: 1,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.62 : 3,439.56 = 907.40 : x
  2. Step 2: Convert to fraction form
    2,294.62/3,439.56 = 907.40/x
  3. Step 3: Cross multiply
    2,294.62x = 3,439.56 × 907.40
  4. Step 4: Simplify right side
    2,294.62x = 3,121,042.95
  5. Step 5: Solve for x
    x = 3,121,042.95/2,294.62
  6. Step 6: Final answer
    x = 1,360.16

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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.