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Finding the Fourth Proportional to 2,358.82, 3,255.24 and 1,364.41

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Solution

The fourth proportional to 2,358.82, 3,255.24 and 1,364.41 is: 1,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.82 : 3,255.24 = 1,364.41 : x
  2. Step 2: Convert to fraction form
    2,358.82/3,255.24 = 1,364.41/x
  3. Step 3: Cross multiply
    2,358.82x = 3,255.24 × 1,364.41
  4. Step 4: Simplify right side
    2,358.82x = 4,441,482.01
  5. Step 5: Solve for x
    x = 4,441,482.01/2,358.82
  6. Step 6: Final answer
    x = 1,882.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.