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Finding the Fourth Proportional to 2,308.01, 3,459.14 and 1,154.09

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Solution

The fourth proportional to 2,308.01, 3,459.14 and 1,154.09 is: 1,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.01 : 3,459.14 = 1,154.09 : x
  2. Step 2: Convert to fraction form
    2,308.01/3,459.14 = 1,154.09/x
  3. Step 3: Cross multiply
    2,308.01x = 3,459.14 × 1,154.09
  4. Step 4: Simplify right side
    2,308.01x = 3,992,153.11
  5. Step 5: Solve for x
    x = 3,992,153.11/2,308.01
  6. Step 6: Final answer
    x = 1,729.69

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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.