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Finding the Fourth Proportional to 2,381.76, 3,574.26 and 2,363.58

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Solution

The fourth proportional to 2,381.76, 3,574.26 and 2,363.58 is: 3,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.76 : 3,574.26 = 2,363.58 : x
  2. Step 2: Convert to fraction form
    2,381.76/3,574.26 = 2,363.58/x
  3. Step 3: Cross multiply
    2,381.76x = 3,574.26 × 2,363.58
  4. Step 4: Simplify right side
    2,381.76x = 8,448,049.45
  5. Step 5: Solve for x
    x = 8,448,049.45/2,381.76
  6. Step 6: Final answer
    x = 3,546.98

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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.