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Finding the Fourth Proportional to 3,466.51, 4,784.24 and 1,974.13

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Solution

The fourth proportional to 3,466.51, 4,784.24 and 1,974.13 is: 2,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.51 : 4,784.24 = 1,974.13 : x
  2. Step 2: Convert to fraction form
    3,466.51/4,784.24 = 1,974.13/x
  3. Step 3: Cross multiply
    3,466.51x = 4,784.24 × 1,974.13
  4. Step 4: Simplify right side
    3,466.51x = 9,444,711.71
  5. Step 5: Solve for x
    x = 9,444,711.71/3,466.51
  6. Step 6: Final answer
    x = 2,724.56

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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.