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Finding the Fourth Proportional to 2,104.86, 3,156.92 and 565.50

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Solution

The fourth proportional to 2,104.86, 3,156.92 and 565.50 is: 848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.86 : 3,156.92 = 565.50 : x
  2. Step 2: Convert to fraction form
    2,104.86/3,156.92 = 565.50/x
  3. Step 3: Cross multiply
    2,104.86x = 3,156.92 × 565.50
  4. Step 4: Simplify right side
    2,104.86x = 1,785,238.26
  5. Step 5: Solve for x
    x = 1,785,238.26/2,104.86
  6. Step 6: Final answer
    x = 848.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.