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Finding the Fourth Proportional to 2,075.52, 2,861.63 and 1,743.22

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Solution

The fourth proportional to 2,075.52, 2,861.63 and 1,743.22 is: 2,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.52 : 2,861.63 = 1,743.22 : x
  2. Step 2: Convert to fraction form
    2,075.52/2,861.63 = 1,743.22/x
  3. Step 3: Cross multiply
    2,075.52x = 2,861.63 × 1,743.22
  4. Step 4: Simplify right side
    2,075.52x = 4,988,452.05
  5. Step 5: Solve for x
    x = 4,988,452.05/2,075.52
  6. Step 6: Final answer
    x = 2,403.47

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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.