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Finding the Fourth Proportional to 2,061.95, 2,844.56 and 1,433.99

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Solution

The fourth proportional to 2,061.95, 2,844.56 and 1,433.99 is: 1,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.95 : 2,844.56 = 1,433.99 : x
  2. Step 2: Convert to fraction form
    2,061.95/2,844.56 = 1,433.99/x
  3. Step 3: Cross multiply
    2,061.95x = 2,844.56 × 1,433.99
  4. Step 4: Simplify right side
    2,061.95x = 4,079,081.29
  5. Step 5: Solve for x
    x = 4,079,081.29/2,061.95
  6. Step 6: Final answer
    x = 1,978.27

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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.