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Finding the Fourth Proportional to 2,308.92, 3,482.97 and 2,304.06

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Solution

The fourth proportional to 2,308.92, 3,482.97 and 2,304.06 is: 3,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.92 : 3,482.97 = 2,304.06 : x
  2. Step 2: Convert to fraction form
    2,308.92/3,482.97 = 2,304.06/x
  3. Step 3: Cross multiply
    2,308.92x = 3,482.97 × 2,304.06
  4. Step 4: Simplify right side
    2,308.92x = 8,024,971.86
  5. Step 5: Solve for x
    x = 8,024,971.86/2,308.92
  6. Step 6: Final answer
    x = 3,475.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.