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Finding the Fourth Proportional to 2,362.73, 3,541.49 and 975.30

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Solution

The fourth proportional to 2,362.73, 3,541.49 and 975.30 is: 1,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.73 : 3,541.49 = 975.30 : x
  2. Step 2: Convert to fraction form
    2,362.73/3,541.49 = 975.30/x
  3. Step 3: Cross multiply
    2,362.73x = 3,541.49 × 975.30
  4. Step 4: Simplify right side
    2,362.73x = 3,454,024.57
  5. Step 5: Solve for x
    x = 3,454,024.57/2,362.73
  6. Step 6: Final answer
    x = 1,461.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.