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Finding the Fourth Proportional to 2,074.88, 3,112.29 and 514.89

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Solution

The fourth proportional to 2,074.88, 3,112.29 and 514.89 is: 772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.88 : 3,112.29 = 514.89 : x
  2. Step 2: Convert to fraction form
    2,074.88/3,112.29 = 514.89/x
  3. Step 3: Cross multiply
    2,074.88x = 3,112.29 × 514.89
  4. Step 4: Simplify right side
    2,074.88x = 1,602,487.00
  5. Step 5: Solve for x
    x = 1,602,487.00/2,074.88
  6. Step 6: Final answer
    x = 772.33

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