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Finding the Fourth Proportional to 2,149.79, 3,219.21 and 1,417.14

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Solution

The fourth proportional to 2,149.79, 3,219.21 and 1,417.14 is: 2,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.79 : 3,219.21 = 1,417.14 : x
  2. Step 2: Convert to fraction form
    2,149.79/3,219.21 = 1,417.14/x
  3. Step 3: Cross multiply
    2,149.79x = 3,219.21 × 1,417.14
  4. Step 4: Simplify right side
    2,149.79x = 4,562,071.26
  5. Step 5: Solve for x
    x = 4,562,071.26/2,149.79
  6. Step 6: Final answer
    x = 2,122.11

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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.