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Finding the Fourth Proportional to 2,358.96, 3,255.48 and 1,311

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Solution

The fourth proportional to 2,358.96, 3,255.48 and 1,311 is: 1,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.96 : 3,255.48 = 1,311 : x
  2. Step 2: Convert to fraction form
    2,358.96/3,255.48 = 1,311/x
  3. Step 3: Cross multiply
    2,358.96x = 3,255.48 × 1,311
  4. Step 4: Simplify right side
    2,358.96x = 4,267,934.28
  5. Step 5: Solve for x
    x = 4,267,934.28/2,358.96
  6. Step 6: Final answer
    x = 1,809.24

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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.