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Finding the Fourth Proportional to 1,551.50, 2,140.74 and 922.25

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Solution

The fourth proportional to 1,551.50, 2,140.74 and 922.25 is: 1,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.50 : 2,140.74 = 922.25 : x
  2. Step 2: Convert to fraction form
    1,551.50/2,140.74 = 922.25/x
  3. Step 3: Cross multiply
    1,551.50x = 2,140.74 × 922.25
  4. Step 4: Simplify right side
    1,551.50x = 1,974,286.76
  5. Step 5: Solve for x
    x = 1,974,286.76/1,551.50
  6. Step 6: Final answer
    x = 1,272.51

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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.