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Finding the Fourth Proportional to 2,424.42, 3,344.49 and 1,760.22

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Solution

The fourth proportional to 2,424.42, 3,344.49 and 1,760.22 is: 2,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.42 : 3,344.49 = 1,760.22 : x
  2. Step 2: Convert to fraction form
    2,424.42/3,344.49 = 1,760.22/x
  3. Step 3: Cross multiply
    2,424.42x = 3,344.49 × 1,760.22
  4. Step 4: Simplify right side
    2,424.42x = 5,887,038.19
  5. Step 5: Solve for x
    x = 5,887,038.19/2,424.42
  6. Step 6: Final answer
    x = 2,428.23

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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.