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Finding the Fourth Proportional to 3,215.16, 4,822.20 and 1,459.62

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Solution

The fourth proportional to 3,215.16, 4,822.20 and 1,459.62 is: 2,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.16 : 4,822.20 = 1,459.62 : x
  2. Step 2: Convert to fraction form
    3,215.16/4,822.20 = 1,459.62/x
  3. Step 3: Cross multiply
    3,215.16x = 4,822.20 × 1,459.62
  4. Step 4: Simplify right side
    3,215.16x = 7,038,579.56
  5. Step 5: Solve for x
    x = 7,038,579.56/3,215.16
  6. Step 6: Final answer
    x = 2,189.18

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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.