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Finding the Fourth Proportional to 3,012.78, 4,519.14 and 1,065

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Solution

The fourth proportional to 3,012.78, 4,519.14 and 1,065 is: 1,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.78 : 4,519.14 = 1,065 : x
  2. Step 2: Convert to fraction form
    3,012.78/4,519.14 = 1,065/x
  3. Step 3: Cross multiply
    3,012.78x = 4,519.14 × 1,065
  4. Step 4: Simplify right side
    3,012.78x = 4,812,884.10
  5. Step 5: Solve for x
    x = 4,812,884.10/3,012.78
  6. Step 6: Final answer
    x = 1,597.49

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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.