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Finding the Fourth Proportional to 1,449, 2,000.49 and 952.50

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Solution

The fourth proportional to 1,449, 2,000.49 and 952.50 is: 1,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449 : 2,000.49 = 952.50 : x
  2. Step 2: Convert to fraction form
    1,449/2,000.49 = 952.50/x
  3. Step 3: Cross multiply
    1,449x = 2,000.49 × 952.50
  4. Step 4: Simplify right side
    1,449x = 1,905,466.73
  5. Step 5: Solve for x
    x = 1,905,466.73/1,449
  6. Step 6: Final answer
    x = 1,315.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.