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Finding the Fourth Proportional to 2,321.72, 3,482.58 and 566.72

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Solution

The fourth proportional to 2,321.72, 3,482.58 and 566.72 is: 850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.72 : 3,482.58 = 566.72 : x
  2. Step 2: Convert to fraction form
    2,321.72/3,482.58 = 566.72/x
  3. Step 3: Cross multiply
    2,321.72x = 3,482.58 × 566.72
  4. Step 4: Simplify right side
    2,321.72x = 1,973,647.74
  5. Step 5: Solve for x
    x = 1,973,647.74/2,321.72
  6. Step 6: Final answer
    x = 850.08

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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.