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Finding the Fourth Proportional to 2,055.54, 2,836.99 and 1,309.84

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Solution

The fourth proportional to 2,055.54, 2,836.99 and 1,309.84 is: 1,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.54 : 2,836.99 = 1,309.84 : x
  2. Step 2: Convert to fraction form
    2,055.54/2,836.99 = 1,309.84/x
  3. Step 3: Cross multiply
    2,055.54x = 2,836.99 × 1,309.84
  4. Step 4: Simplify right side
    2,055.54x = 3,716,002.98
  5. Step 5: Solve for x
    x = 3,716,002.98/2,055.54
  6. Step 6: Final answer
    x = 1,807.80

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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.