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Finding the Fourth Proportional to 3,184.59, 4,393.83 and 2,065.57

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Solution

The fourth proportional to 3,184.59, 4,393.83 and 2,065.57 is: 2,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.59 : 4,393.83 = 2,065.57 : x
  2. Step 2: Convert to fraction form
    3,184.59/4,393.83 = 2,065.57/x
  3. Step 3: Cross multiply
    3,184.59x = 4,393.83 × 2,065.57
  4. Step 4: Simplify right side
    3,184.59x = 9,075,763.43
  5. Step 5: Solve for x
    x = 9,075,763.43/3,184.59
  6. Step 6: Final answer
    x = 2,849.90

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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.