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Finding the Fourth Proportional to 1,863.16, 2,795.46 and 709.72

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Solution

The fourth proportional to 1,863.16, 2,795.46 and 709.72 is: 1,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.16 : 2,795.46 = 709.72 : x
  2. Step 2: Convert to fraction form
    1,863.16/2,795.46 = 709.72/x
  3. Step 3: Cross multiply
    1,863.16x = 2,795.46 × 709.72
  4. Step 4: Simplify right side
    1,863.16x = 1,983,993.87
  5. Step 5: Solve for x
    x = 1,983,993.87/1,863.16
  6. Step 6: Final answer
    x = 1,064.85

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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.