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Finding the Fourth Proportional to 2,294.14, 3,442.35 and 908.47

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Solution

The fourth proportional to 2,294.14, 3,442.35 and 908.47 is: 1,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.14 : 3,442.35 = 908.47 : x
  2. Step 2: Convert to fraction form
    2,294.14/3,442.35 = 908.47/x
  3. Step 3: Cross multiply
    2,294.14x = 3,442.35 × 908.47
  4. Step 4: Simplify right side
    2,294.14x = 3,127,271.70
  5. Step 5: Solve for x
    x = 3,127,271.70/2,294.14
  6. Step 6: Final answer
    x = 1,363.16

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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.