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Finding the Fourth Proportional to 2,770.92, 4,155.16 and 1,038.33

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Solution

The fourth proportional to 2,770.92, 4,155.16 and 1,038.33 is: 1,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.92 : 4,155.16 = 1,038.33 : x
  2. Step 2: Convert to fraction form
    2,770.92/4,155.16 = 1,038.33/x
  3. Step 3: Cross multiply
    2,770.92x = 4,155.16 × 1,038.33
  4. Step 4: Simplify right side
    2,770.92x = 4,314,424.69
  5. Step 5: Solve for x
    x = 4,314,424.69/2,770.92
  6. Step 6: Final answer
    x = 1,557.04

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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.