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Finding the Fourth Proportional to 2,047.66, 2,824.68 and 1,418.80

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Solution

The fourth proportional to 2,047.66, 2,824.68 and 1,418.80 is: 1,957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.66 : 2,824.68 = 1,418.80 : x
  2. Step 2: Convert to fraction form
    2,047.66/2,824.68 = 1,418.80/x
  3. Step 3: Cross multiply
    2,047.66x = 2,824.68 × 1,418.80
  4. Step 4: Simplify right side
    2,047.66x = 4,007,655.98
  5. Step 5: Solve for x
    x = 4,007,655.98/2,047.66
  6. Step 6: Final answer
    x = 1,957.19

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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.