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Finding the Fourth Proportional to 1,850.74, 2,771.07 and 1,302.10

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Solution

The fourth proportional to 1,850.74, 2,771.07 and 1,302.10 is: 1,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.74 : 2,771.07 = 1,302.10 : x
  2. Step 2: Convert to fraction form
    1,850.74/2,771.07 = 1,302.10/x
  3. Step 3: Cross multiply
    1,850.74x = 2,771.07 × 1,302.10
  4. Step 4: Simplify right side
    1,850.74x = 3,608,210.25
  5. Step 5: Solve for x
    x = 3,608,210.25/1,850.74
  6. Step 6: Final answer
    x = 1,949.60

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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.