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Finding the Fourth Proportional to 3,145.82, 4,719.50 and 2,223.20

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Solution

The fourth proportional to 3,145.82, 4,719.50 and 2,223.20 is: 3,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.82 : 4,719.50 = 2,223.20 : x
  2. Step 2: Convert to fraction form
    3,145.82/4,719.50 = 2,223.20/x
  3. Step 3: Cross multiply
    3,145.82x = 4,719.50 × 2,223.20
  4. Step 4: Simplify right side
    3,145.82x = 10,492,392.40
  5. Step 5: Solve for x
    x = 10,492,392.40/3,145.82
  6. Step 6: Final answer
    x = 3,335.34

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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.