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Finding the Fourth Proportional to 3,100.89, 4,652.02 and 1,020.81

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Solution

The fourth proportional to 3,100.89, 4,652.02 and 1,020.81 is: 1,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.89 : 4,652.02 = 1,020.81 : x
  2. Step 2: Convert to fraction form
    3,100.89/4,652.02 = 1,020.81/x
  3. Step 3: Cross multiply
    3,100.89x = 4,652.02 × 1,020.81
  4. Step 4: Simplify right side
    3,100.89x = 4,748,828.54
  5. Step 5: Solve for x
    x = 4,748,828.54/3,100.89
  6. Step 6: Final answer
    x = 1,531.44

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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.