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Finding the Fourth Proportional to 1,948.72, 2,920.34 and 850.80

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Solution

The fourth proportional to 1,948.72, 2,920.34 and 850.80 is: 1,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.72 : 2,920.34 = 850.80 : x
  2. Step 2: Convert to fraction form
    1,948.72/2,920.34 = 850.80/x
  3. Step 3: Cross multiply
    1,948.72x = 2,920.34 × 850.80
  4. Step 4: Simplify right side
    1,948.72x = 2,484,625.27
  5. Step 5: Solve for x
    x = 2,484,625.27/1,948.72
  6. Step 6: Final answer
    x = 1,275.00

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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.