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Finding the Fourth Proportional to 2,215.98, 3,323.34 and 656.10

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Solution

The fourth proportional to 2,215.98, 3,323.34 and 656.10 is: 983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.98 : 3,323.34 = 656.10 : x
  2. Step 2: Convert to fraction form
    2,215.98/3,323.34 = 656.10/x
  3. Step 3: Cross multiply
    2,215.98x = 3,323.34 × 656.10
  4. Step 4: Simplify right side
    2,215.98x = 2,180,443.37
  5. Step 5: Solve for x
    x = 2,180,443.37/2,215.98
  6. Step 6: Final answer
    x = 983.96

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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.