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Finding the Fourth Proportional to 2,348.87, 3,524.65 and 887.96

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Solution

The fourth proportional to 2,348.87, 3,524.65 and 887.96 is: 1,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.87 : 3,524.65 = 887.96 : x
  2. Step 2: Convert to fraction form
    2,348.87/3,524.65 = 887.96/x
  3. Step 3: Cross multiply
    2,348.87x = 3,524.65 × 887.96
  4. Step 4: Simplify right side
    2,348.87x = 3,129,754.81
  5. Step 5: Solve for x
    x = 3,129,754.81/2,348.87
  6. Step 6: Final answer
    x = 1,332.45

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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.