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Finding the Fourth Proportional to 1,897.28, 2,845.93 and 922.55

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Solution

The fourth proportional to 1,897.28, 2,845.93 and 922.55 is: 1,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.28 : 2,845.93 = 922.55 : x
  2. Step 2: Convert to fraction form
    1,897.28/2,845.93 = 922.55/x
  3. Step 3: Cross multiply
    1,897.28x = 2,845.93 × 922.55
  4. Step 4: Simplify right side
    1,897.28x = 2,625,496.19
  5. Step 5: Solve for x
    x = 2,625,496.19/1,897.28
  6. Step 6: Final answer
    x = 1,383.82

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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.