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Finding the Fourth Proportional to 2,358.96, 3,255.24 and 1,364.28

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Solution

The fourth proportional to 2,358.96, 3,255.24 and 1,364.28 is: 1,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.96 : 3,255.24 = 1,364.28 : x
  2. Step 2: Convert to fraction form
    2,358.96/3,255.24 = 1,364.28/x
  3. Step 3: Cross multiply
    2,358.96x = 3,255.24 × 1,364.28
  4. Step 4: Simplify right side
    2,358.96x = 4,441,058.83
  5. Step 5: Solve for x
    x = 4,441,058.83/2,358.96
  6. Step 6: Final answer
    x = 1,882.63

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1.5x scale

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.