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Finding the Fourth Proportional to 2,321.36, 3,482.00 and 566.38

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Solution

The fourth proportional to 2,321.36, 3,482.00 and 566.38 is: 849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.36 : 3,482.00 = 566.38 : x
  2. Step 2: Convert to fraction form
    2,321.36/3,482.00 = 566.38/x
  3. Step 3: Cross multiply
    2,321.36x = 3,482.00 × 566.38
  4. Step 4: Simplify right side
    2,321.36x = 1,972,114.92
  5. Step 5: Solve for x
    x = 1,972,114.92/2,321.36
  6. Step 6: Final answer
    x = 849.55

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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.