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Finding the Fourth Proportional to 2,011.32, 3,014.10 and 1,143.84

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Solution

The fourth proportional to 2,011.32, 3,014.10 and 1,143.84 is: 1,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.32 : 3,014.10 = 1,143.84 : x
  2. Step 2: Convert to fraction form
    2,011.32/3,014.10 = 1,143.84/x
  3. Step 3: Cross multiply
    2,011.32x = 3,014.10 × 1,143.84
  4. Step 4: Simplify right side
    2,011.32x = 3,447,648.14
  5. Step 5: Solve for x
    x = 3,447,648.14/2,011.32
  6. Step 6: Final answer
    x = 1,714.12

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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.