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Finding the Fourth Proportional to 1,321.84, 1,982.76 and 591.40

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Solution

The fourth proportional to 1,321.84, 1,982.76 and 591.40 is: 887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.84 : 1,982.76 = 591.40 : x
  2. Step 2: Convert to fraction form
    1,321.84/1,982.76 = 591.40/x
  3. Step 3: Cross multiply
    1,321.84x = 1,982.76 × 591.40
  4. Step 4: Simplify right side
    1,321.84x = 1,172,604.26
  5. Step 5: Solve for x
    x = 1,172,604.26/1,321.84
  6. Step 6: Final answer
    x = 887.10

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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.