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Finding the Fourth Proportional to 2,308.08, 3,445.26 and 2,002.08

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Solution

The fourth proportional to 2,308.08, 3,445.26 and 2,002.08 is: 2,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.08 : 3,445.26 = 2,002.08 : x
  2. Step 2: Convert to fraction form
    2,308.08/3,445.26 = 2,002.08/x
  3. Step 3: Cross multiply
    2,308.08x = 3,445.26 × 2,002.08
  4. Step 4: Simplify right side
    2,308.08x = 6,897,686.14
  5. Step 5: Solve for x
    x = 6,897,686.14/2,308.08
  6. Step 6: Final answer
    x = 2,988.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.