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Finding the Fourth Proportional to 2,071.35, 2,857.21 and 1,314.87

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Solution

The fourth proportional to 2,071.35, 2,857.21 and 1,314.87 is: 1,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.35 : 2,857.21 = 1,314.87 : x
  2. Step 2: Convert to fraction form
    2,071.35/2,857.21 = 1,314.87/x
  3. Step 3: Cross multiply
    2,071.35x = 2,857.21 × 1,314.87
  4. Step 4: Simplify right side
    2,071.35x = 3,756,859.71
  5. Step 5: Solve for x
    x = 3,756,859.71/2,071.35
  6. Step 6: Final answer
    x = 1,813.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.