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Finding the Fourth Proportional to 2,261.14, 3,393.16 and 962.60

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Solution

The fourth proportional to 2,261.14, 3,393.16 and 962.60 is: 1,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.14 : 3,393.16 = 962.60 : x
  2. Step 2: Convert to fraction form
    2,261.14/3,393.16 = 962.60/x
  3. Step 3: Cross multiply
    2,261.14x = 3,393.16 × 962.60
  4. Step 4: Simplify right side
    2,261.14x = 3,266,255.82
  5. Step 5: Solve for x
    x = 3,266,255.82/2,261.14
  6. Step 6: Final answer
    x = 1,444.52

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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.