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Finding the Fourth Proportional to 2,675.40, 4,010.00 and 1,114.53

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Solution

The fourth proportional to 2,675.40, 4,010.00 and 1,114.53 is: 1,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.40 : 4,010.00 = 1,114.53 : x
  2. Step 2: Convert to fraction form
    2,675.40/4,010.00 = 1,114.53/x
  3. Step 3: Cross multiply
    2,675.40x = 4,010.00 × 1,114.53
  4. Step 4: Simplify right side
    2,675.40x = 4,469,259.73
  5. Step 5: Solve for x
    x = 4,469,259.73/2,675.40
  6. Step 6: Final answer
    x = 1,670.50

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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.