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Finding the Fourth Proportional to 3,104.76, 4,657.31 and 1,024.68

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Solution

The fourth proportional to 3,104.76, 4,657.31 and 1,024.68 is: 1,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.76 : 4,657.31 = 1,024.68 : x
  2. Step 2: Convert to fraction form
    3,104.76/4,657.31 = 1,024.68/x
  3. Step 3: Cross multiply
    3,104.76x = 4,657.31 × 1,024.68
  4. Step 4: Simplify right side
    3,104.76x = 4,772,247.29
  5. Step 5: Solve for x
    x = 4,772,247.29/3,104.76
  6. Step 6: Final answer
    x = 1,537.07

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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.