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Finding the Fourth Proportional to 1,769.42, 2,444.10 and 1,349.84

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Solution

The fourth proportional to 1,769.42, 2,444.10 and 1,349.84 is: 1,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.42 : 2,444.10 = 1,349.84 : x
  2. Step 2: Convert to fraction form
    1,769.42/2,444.10 = 1,349.84/x
  3. Step 3: Cross multiply
    1,769.42x = 2,444.10 × 1,349.84
  4. Step 4: Simplify right side
    1,769.42x = 3,299,143.94
  5. Step 5: Solve for x
    x = 3,299,143.94/1,769.42
  6. Step 6: Final answer
    x = 1,864.53

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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.