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Finding the Fourth Proportional to 2,770.61, 4,156.41 and 921.54

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Solution

The fourth proportional to 2,770.61, 4,156.41 and 921.54 is: 1,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.61 : 4,156.41 = 921.54 : x
  2. Step 2: Convert to fraction form
    2,770.61/4,156.41 = 921.54/x
  3. Step 3: Cross multiply
    2,770.61x = 4,156.41 × 921.54
  4. Step 4: Simplify right side
    2,770.61x = 3,830,317.11
  5. Step 5: Solve for x
    x = 3,830,317.11/2,770.61
  6. Step 6: Final answer
    x = 1,382.48

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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.