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Finding the Fourth Proportional to 2,358.88, 3,255.42 and 1,364.40

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Solution

The fourth proportional to 2,358.88, 3,255.42 and 1,364.40 is: 1,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.88 : 3,255.42 = 1,364.40 : x
  2. Step 2: Convert to fraction form
    2,358.88/3,255.42 = 1,364.40/x
  3. Step 3: Cross multiply
    2,358.88x = 3,255.42 × 1,364.40
  4. Step 4: Simplify right side
    2,358.88x = 4,441,695.05
  5. Step 5: Solve for x
    x = 4,441,695.05/2,358.88
  6. Step 6: Final answer
    x = 1,882.97

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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.