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Finding the Fourth Proportional to 1,393.84, 2,096.52 and 1,261.36

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Solution

The fourth proportional to 1,393.84, 2,096.52 and 1,261.36 is: 1,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.84 : 2,096.52 = 1,261.36 : x
  2. Step 2: Convert to fraction form
    1,393.84/2,096.52 = 1,261.36/x
  3. Step 3: Cross multiply
    1,393.84x = 2,096.52 × 1,261.36
  4. Step 4: Simplify right side
    1,393.84x = 2,644,466.47
  5. Step 5: Solve for x
    x = 2,644,466.47/1,393.84
  6. Step 6: Final answer
    x = 1,897.25

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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.