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Finding the Fourth Proportional to 1,414.65, 2,119.89 and 1,335.68

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Solution

The fourth proportional to 1,414.65, 2,119.89 and 1,335.68 is: 2,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.65 : 2,119.89 = 1,335.68 : x
  2. Step 2: Convert to fraction form
    1,414.65/2,119.89 = 1,335.68/x
  3. Step 3: Cross multiply
    1,414.65x = 2,119.89 × 1,335.68
  4. Step 4: Simplify right side
    1,414.65x = 2,831,484.08
  5. Step 5: Solve for x
    x = 2,831,484.08/1,414.65
  6. Step 6: Final answer
    x = 2,001.54

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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.