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Finding the Fourth Proportional to 2,358.76, 3,537.68 and 2,241.68

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Solution

The fourth proportional to 2,358.76, 3,537.68 and 2,241.68 is: 3,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.76 : 3,537.68 = 2,241.68 : x
  2. Step 2: Convert to fraction form
    2,358.76/3,537.68 = 2,241.68/x
  3. Step 3: Cross multiply
    2,358.76x = 3,537.68 × 2,241.68
  4. Step 4: Simplify right side
    2,358.76x = 7,930,346.50
  5. Step 5: Solve for x
    x = 7,930,346.50/2,358.76
  6. Step 6: Final answer
    x = 3,362.08

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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.