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Finding the Fourth Proportional to 2,656.85, 3,984.54 and 1,012.49

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Solution

The fourth proportional to 2,656.85, 3,984.54 and 1,012.49 is: 1,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.85 : 3,984.54 = 1,012.49 : x
  2. Step 2: Convert to fraction form
    2,656.85/3,984.54 = 1,012.49/x
  3. Step 3: Cross multiply
    2,656.85x = 3,984.54 × 1,012.49
  4. Step 4: Simplify right side
    2,656.85x = 4,034,306.90
  5. Step 5: Solve for x
    x = 4,034,306.90/2,656.85
  6. Step 6: Final answer
    x = 1,518.45

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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.