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Finding the Fourth Proportional to 2,074.90, 3,112.34 and 514.87

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Solution

The fourth proportional to 2,074.90, 3,112.34 and 514.87 is: 772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.90 : 3,112.34 = 514.87 : x
  2. Step 2: Convert to fraction form
    2,074.90/3,112.34 = 514.87/x
  3. Step 3: Cross multiply
    2,074.90x = 3,112.34 × 514.87
  4. Step 4: Simplify right side
    2,074.90x = 1,602,460.54
  5. Step 5: Solve for x
    x = 1,602,460.54/2,074.90
  6. Step 6: Final answer
    x = 772.31

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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.