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Finding the Fourth Proportional to 2,803.81, 3,869.30 and 1,561.81

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Solution

The fourth proportional to 2,803.81, 3,869.30 and 1,561.81 is: 2,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.81 : 3,869.30 = 1,561.81 : x
  2. Step 2: Convert to fraction form
    2,803.81/3,869.30 = 1,561.81/x
  3. Step 3: Cross multiply
    2,803.81x = 3,869.30 × 1,561.81
  4. Step 4: Simplify right side
    2,803.81x = 6,043,111.43
  5. Step 5: Solve for x
    x = 6,043,111.43/2,803.81
  6. Step 6: Final answer
    x = 2,155.32

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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.