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Finding the Fourth Proportional to 3,261.06, 4,891.60 and 921.28

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Solution

The fourth proportional to 3,261.06, 4,891.60 and 921.28 is: 1,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.06 : 4,891.60 = 921.28 : x
  2. Step 2: Convert to fraction form
    3,261.06/4,891.60 = 921.28/x
  3. Step 3: Cross multiply
    3,261.06x = 4,891.60 × 921.28
  4. Step 4: Simplify right side
    3,261.06x = 4,506,533.25
  5. Step 5: Solve for x
    x = 4,506,533.25/3,261.06
  6. Step 6: Final answer
    x = 1,381.92

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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.