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Finding the Fourth Proportional to 1,490.07, 2,233.89 and 749.19

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Solution

The fourth proportional to 1,490.07, 2,233.89 and 749.19 is: 1,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.07 : 2,233.89 = 749.19 : x
  2. Step 2: Convert to fraction form
    1,490.07/2,233.89 = 749.19/x
  3. Step 3: Cross multiply
    1,490.07x = 2,233.89 × 749.19
  4. Step 4: Simplify right side
    1,490.07x = 1,673,608.05
  5. Step 5: Solve for x
    x = 1,673,608.05/1,490.07
  6. Step 6: Final answer
    x = 1,123.17

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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.