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Finding the Fourth Proportional to 2,418.65, 3,338.43 and 1,424.50

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Solution

The fourth proportional to 2,418.65, 3,338.43 and 1,424.50 is: 1,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.65 : 3,338.43 = 1,424.50 : x
  2. Step 2: Convert to fraction form
    2,418.65/3,338.43 = 1,424.50/x
  3. Step 3: Cross multiply
    2,418.65x = 3,338.43 × 1,424.50
  4. Step 4: Simplify right side
    2,418.65x = 4,755,598.63
  5. Step 5: Solve for x
    x = 4,755,598.63/2,418.65
  6. Step 6: Final answer
    x = 1,966.22

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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.