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Finding the Fourth Proportional to 2,428.89, 3,641.06 and 889.53

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Solution

The fourth proportional to 2,428.89, 3,641.06 and 889.53 is: 1,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.89 : 3,641.06 = 889.53 : x
  2. Step 2: Convert to fraction form
    2,428.89/3,641.06 = 889.53/x
  3. Step 3: Cross multiply
    2,428.89x = 3,641.06 × 889.53
  4. Step 4: Simplify right side
    2,428.89x = 3,238,827.65
  5. Step 5: Solve for x
    x = 3,238,827.65/2,428.89
  6. Step 6: Final answer
    x = 1,333.46

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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.