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Finding the Fourth Proportional to 2,012.18, 3,019.08 and 714.56

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Solution

The fourth proportional to 2,012.18, 3,019.08 and 714.56 is: 1,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.18 : 3,019.08 = 714.56 : x
  2. Step 2: Convert to fraction form
    2,012.18/3,019.08 = 714.56/x
  3. Step 3: Cross multiply
    2,012.18x = 3,019.08 × 714.56
  4. Step 4: Simplify right side
    2,012.18x = 2,157,313.80
  5. Step 5: Solve for x
    x = 2,157,313.80/2,012.18
  6. Step 6: Final answer
    x = 1,072.13

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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.