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Finding the Fourth Proportional to 1,948.95, 2,690.39 and 1,321.30

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Solution

The fourth proportional to 1,948.95, 2,690.39 and 1,321.30 is: 1,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.95 : 2,690.39 = 1,321.30 : x
  2. Step 2: Convert to fraction form
    1,948.95/2,690.39 = 1,321.30/x
  3. Step 3: Cross multiply
    1,948.95x = 2,690.39 × 1,321.30
  4. Step 4: Simplify right side
    1,948.95x = 3,554,813.49
  5. Step 5: Solve for x
    x = 3,554,813.49/1,948.95
  6. Step 6: Final answer
    x = 1,823.96

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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.