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Finding the Fourth Proportional to 3,389.49, 4,677.52 and 1,974

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Solution

The fourth proportional to 3,389.49, 4,677.52 and 1,974 is: 2,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.49 : 4,677.52 = 1,974 : x
  2. Step 2: Convert to fraction form
    3,389.49/4,677.52 = 1,974/x
  3. Step 3: Cross multiply
    3,389.49x = 4,677.52 × 1,974
  4. Step 4: Simplify right side
    3,389.49x = 9,233,424.48
  5. Step 5: Solve for x
    x = 9,233,424.48/3,389.49
  6. Step 6: Final answer
    x = 2,724.13

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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.