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Finding the Fourth Proportional to 3,424.49, 4,724.68 and 1,911.80

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Solution

The fourth proportional to 3,424.49, 4,724.68 and 1,911.80 is: 2,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.49 : 4,724.68 = 1,911.80 : x
  2. Step 2: Convert to fraction form
    3,424.49/4,724.68 = 1,911.80/x
  3. Step 3: Cross multiply
    3,424.49x = 4,724.68 × 1,911.80
  4. Step 4: Simplify right side
    3,424.49x = 9,032,643.22
  5. Step 5: Solve for x
    x = 9,032,643.22/3,424.49
  6. Step 6: Final answer
    x = 2,637.66

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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.