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Finding the Fourth Proportional to 1,412.96, 2,120.54 and 1,340.71

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Solution

The fourth proportional to 1,412.96, 2,120.54 and 1,340.71 is: 2,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.96 : 2,120.54 = 1,340.71 : x
  2. Step 2: Convert to fraction form
    1,412.96/2,120.54 = 1,340.71/x
  3. Step 3: Cross multiply
    1,412.96x = 2,120.54 × 1,340.71
  4. Step 4: Simplify right side
    1,412.96x = 2,843,017.18
  5. Step 5: Solve for x
    x = 2,843,017.18/1,412.96
  6. Step 6: Final answer
    x = 2,012.11

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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.