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Finding the Fourth Proportional to 1,322.52, 1,820.91 and 1,122.95

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Solution

The fourth proportional to 1,322.52, 1,820.91 and 1,122.95 is: 1,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.52 : 1,820.91 = 1,122.95 : x
  2. Step 2: Convert to fraction form
    1,322.52/1,820.91 = 1,122.95/x
  3. Step 3: Cross multiply
    1,322.52x = 1,820.91 × 1,122.95
  4. Step 4: Simplify right side
    1,322.52x = 2,044,791.23
  5. Step 5: Solve for x
    x = 2,044,791.23/1,322.52
  6. Step 6: Final answer
    x = 1,546.14

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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.