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Finding the Fourth Proportional to 2,213.61, 3,320.59 and 570.15

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Solution

The fourth proportional to 2,213.61, 3,320.59 and 570.15 is: 855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.61 : 3,320.59 = 570.15 : x
  2. Step 2: Convert to fraction form
    2,213.61/3,320.59 = 570.15/x
  3. Step 3: Cross multiply
    2,213.61x = 3,320.59 × 570.15
  4. Step 4: Simplify right side
    2,213.61x = 1,893,234.39
  5. Step 5: Solve for x
    x = 1,893,234.39/2,213.61
  6. Step 6: Final answer
    x = 855.27

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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.