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Finding the Fourth Proportional to 2,402.30, 3,403.49 and 2,402.30

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Solution

The fourth proportional to 2,402.30, 3,403.49 and 2,402.30 is: 3,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.30 : 3,403.49 = 2,402.30 : x
  2. Step 2: Convert to fraction form
    2,402.30/3,403.49 = 2,402.30/x
  3. Step 3: Cross multiply
    2,402.30x = 3,403.49 × 2,402.30
  4. Step 4: Simplify right side
    2,402.30x = 8,176,204.03
  5. Step 5: Solve for x
    x = 8,176,204.03/2,402.30
  6. Step 6: Final answer
    x = 3,403.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.