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Finding the Fourth Proportional to 1,324.10, 1,981.56 and 910.46

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Solution

The fourth proportional to 1,324.10, 1,981.56 and 910.46 is: 1,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.10 : 1,981.56 = 910.46 : x
  2. Step 2: Convert to fraction form
    1,324.10/1,981.56 = 910.46/x
  3. Step 3: Cross multiply
    1,324.10x = 1,981.56 × 910.46
  4. Step 4: Simplify right side
    1,324.10x = 1,804,131.12
  5. Step 5: Solve for x
    x = 1,804,131.12/1,324.10
  6. Step 6: Final answer
    x = 1,362.53

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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.