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Finding the Fourth Proportional to 1,803.83, 2,692.69 and 1,585.13

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Solution

The fourth proportional to 1,803.83, 2,692.69 and 1,585.13 is: 2,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.83 : 2,692.69 = 1,585.13 : x
  2. Step 2: Convert to fraction form
    1,803.83/2,692.69 = 1,585.13/x
  3. Step 3: Cross multiply
    1,803.83x = 2,692.69 × 1,585.13
  4. Step 4: Simplify right side
    1,803.83x = 4,268,246.27
  5. Step 5: Solve for x
    x = 4,268,246.27/1,803.83
  6. Step 6: Final answer
    x = 2,366.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.