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Finding the Fourth Proportional to 1,340.84, 2,014.35 and 1,285.48

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Solution

The fourth proportional to 1,340.84, 2,014.35 and 1,285.48 is: 1,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.84 : 2,014.35 = 1,285.48 : x
  2. Step 2: Convert to fraction form
    1,340.84/2,014.35 = 1,285.48/x
  3. Step 3: Cross multiply
    1,340.84x = 2,014.35 × 1,285.48
  4. Step 4: Simplify right side
    1,340.84x = 2,589,400.21
  5. Step 5: Solve for x
    x = 2,589,400.21/1,340.84
  6. Step 6: Final answer
    x = 1,931.18

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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.