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Finding the Fourth Proportional to 2,394.16, 3,573.77 and 2,102.56

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Solution

The fourth proportional to 2,394.16, 3,573.77 and 2,102.56 is: 3,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.16 : 3,573.77 = 2,102.56 : x
  2. Step 2: Convert to fraction form
    2,394.16/3,573.77 = 2,102.56/x
  3. Step 3: Cross multiply
    2,394.16x = 3,573.77 × 2,102.56
  4. Step 4: Simplify right side
    2,394.16x = 7,514,065.85
  5. Step 5: Solve for x
    x = 7,514,065.85/2,394.16
  6. Step 6: Final answer
    x = 3,138.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.