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Finding the Fourth Proportional to 3,314.30, 4,971.49 and 1,340.87

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Solution

The fourth proportional to 3,314.30, 4,971.49 and 1,340.87 is: 2,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.30 : 4,971.49 = 1,340.87 : x
  2. Step 2: Convert to fraction form
    3,314.30/4,971.49 = 1,340.87/x
  3. Step 3: Cross multiply
    3,314.30x = 4,971.49 × 1,340.87
  4. Step 4: Simplify right side
    3,314.30x = 6,666,093.59
  5. Step 5: Solve for x
    x = 6,666,093.59/3,314.30
  6. Step 6: Final answer
    x = 2,011.32

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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.