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Finding the Fourth Proportional to 1,424.88, 1,962.24 and 1,224.10

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Solution

The fourth proportional to 1,424.88, 1,962.24 and 1,224.10 is: 1,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.88 : 1,962.24 = 1,224.10 : x
  2. Step 2: Convert to fraction form
    1,424.88/1,962.24 = 1,224.10/x
  3. Step 3: Cross multiply
    1,424.88x = 1,962.24 × 1,224.10
  4. Step 4: Simplify right side
    1,424.88x = 2,401,977.98
  5. Step 5: Solve for x
    x = 2,401,977.98/1,424.88
  6. Step 6: Final answer
    x = 1,685.74

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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.