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Finding the Fourth Proportional to 3,104.86, 4,657.44 and 913.61

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Solution

The fourth proportional to 3,104.86, 4,657.44 and 913.61 is: 1,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.86 : 4,657.44 = 913.61 : x
  2. Step 2: Convert to fraction form
    3,104.86/4,657.44 = 913.61/x
  3. Step 3: Cross multiply
    3,104.86x = 4,657.44 × 913.61
  4. Step 4: Simplify right side
    3,104.86x = 4,255,060.47
  5. Step 5: Solve for x
    x = 4,255,060.47/3,104.86
  6. Step 6: Final answer
    x = 1,370.45

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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.