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Finding the Fourth Proportional to 1,321.93, 1,981.33 and 541.45

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Solution

The fourth proportional to 1,321.93, 1,981.33 and 541.45 is: 811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.93 : 1,981.33 = 541.45 : x
  2. Step 2: Convert to fraction form
    1,321.93/1,981.33 = 541.45/x
  3. Step 3: Cross multiply
    1,321.93x = 1,981.33 × 541.45
  4. Step 4: Simplify right side
    1,321.93x = 1,072,784.82
  5. Step 5: Solve for x
    x = 1,072,784.82/1,321.93
  6. Step 6: Final answer
    x = 811.53

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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.