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Finding the Fourth Proportional to 1,427.84, 1,968.36 and 1,132.64

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Solution

The fourth proportional to 1,427.84, 1,968.36 and 1,132.64 is: 1,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.84 : 1,968.36 = 1,132.64 : x
  2. Step 2: Convert to fraction form
    1,427.84/1,968.36 = 1,132.64/x
  3. Step 3: Cross multiply
    1,427.84x = 1,968.36 × 1,132.64
  4. Step 4: Simplify right side
    1,427.84x = 2,229,443.27
  5. Step 5: Solve for x
    x = 2,229,443.27/1,427.84
  6. Step 6: Final answer
    x = 1,561.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.