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Finding the Fourth Proportional to 2,770.98, 4,155.25 and 1,038.39

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Solution

The fourth proportional to 2,770.98, 4,155.25 and 1,038.39 is: 1,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.98 : 4,155.25 = 1,038.39 : x
  2. Step 2: Convert to fraction form
    2,770.98/4,155.25 = 1,038.39/x
  3. Step 3: Cross multiply
    2,770.98x = 4,155.25 × 1,038.39
  4. Step 4: Simplify right side
    2,770.98x = 4,314,770.05
  5. Step 5: Solve for x
    x = 4,314,770.05/2,770.98
  6. Step 6: Final answer
    x = 1,557.13

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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.