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Finding the Fourth Proportional to 3,165.16, 4,363.68 and 2,219.68

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Solution

The fourth proportional to 3,165.16, 4,363.68 and 2,219.68 is: 3,060.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.16 : 4,363.68 = 2,219.68 : x
  2. Step 2: Convert to fraction form
    3,165.16/4,363.68 = 2,219.68/x
  3. Step 3: Cross multiply
    3,165.16x = 4,363.68 × 2,219.68
  4. Step 4: Simplify right side
    3,165.16x = 9,685,973.22
  5. Step 5: Solve for x
    x = 9,685,973.22/3,165.16
  6. Step 6: Final answer
    x = 3,060.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.