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Finding the Fourth Proportional to 2,396.76, 3,306.42 and 1,402.08

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Solution

The fourth proportional to 2,396.76, 3,306.42 and 1,402.08 is: 1,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.76 : 3,306.42 = 1,402.08 : x
  2. Step 2: Convert to fraction form
    2,396.76/3,306.42 = 1,402.08/x
  3. Step 3: Cross multiply
    2,396.76x = 3,306.42 × 1,402.08
  4. Step 4: Simplify right side
    2,396.76x = 4,635,865.35
  5. Step 5: Solve for x
    x = 4,635,865.35/2,396.76
  6. Step 6: Final answer
    x = 1,934.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.