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Finding the Fourth Proportional to 1,901.25, 2,849.64 and 667.98

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Solution

The fourth proportional to 1,901.25, 2,849.64 and 667.98 is: 1,001.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.25 : 2,849.64 = 667.98 : x
  2. Step 2: Convert to fraction form
    1,901.25/2,849.64 = 667.98/x
  3. Step 3: Cross multiply
    1,901.25x = 2,849.64 × 667.98
  4. Step 4: Simplify right side
    1,901.25x = 1,903,502.53
  5. Step 5: Solve for x
    x = 1,903,502.53/1,901.25
  6. Step 6: Final answer
    x = 1,001.18

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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.