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Finding the Fourth Proportional to 2,347.96, 3,522.66 and 887.56

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Solution

The fourth proportional to 2,347.96, 3,522.66 and 887.56 is: 1,331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.96 : 3,522.66 = 887.56 : x
  2. Step 2: Convert to fraction form
    2,347.96/3,522.66 = 887.56/x
  3. Step 3: Cross multiply
    2,347.96x = 3,522.66 × 887.56
  4. Step 4: Simplify right side
    2,347.96x = 3,126,572.11
  5. Step 5: Solve for x
    x = 3,126,572.11/2,347.96
  6. Step 6: Final answer
    x = 1,331.61

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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.