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Finding the Fourth Proportional to 1,864.64, 2,793.30 and 1,429.67

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Solution

The fourth proportional to 1,864.64, 2,793.30 and 1,429.67 is: 2,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.64 : 2,793.30 = 1,429.67 : x
  2. Step 2: Convert to fraction form
    1,864.64/2,793.30 = 1,429.67/x
  3. Step 3: Cross multiply
    1,864.64x = 2,793.30 × 1,429.67
  4. Step 4: Simplify right side
    1,864.64x = 3,993,497.21
  5. Step 5: Solve for x
    x = 3,993,497.21/1,864.64
  6. Step 6: Final answer
    x = 2,141.70

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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.