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Finding the Fourth Proportional to 1,850.60, 2,772.23 and 971.78

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Solution

The fourth proportional to 1,850.60, 2,772.23 and 971.78 is: 1,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.60 : 2,772.23 = 971.78 : x
  2. Step 2: Convert to fraction form
    1,850.60/2,772.23 = 971.78/x
  3. Step 3: Cross multiply
    1,850.60x = 2,772.23 × 971.78
  4. Step 4: Simplify right side
    1,850.60x = 2,693,988.31
  5. Step 5: Solve for x
    x = 2,693,988.31/1,850.60
  6. Step 6: Final answer
    x = 1,455.74

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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.