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Finding the Fourth Proportional to 1,744.44, 2,606.12 and 1,123.08

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Solution

The fourth proportional to 1,744.44, 2,606.12 and 1,123.08 is: 1,677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.44 : 2,606.12 = 1,123.08 : x
  2. Step 2: Convert to fraction form
    1,744.44/2,606.12 = 1,123.08/x
  3. Step 3: Cross multiply
    1,744.44x = 2,606.12 × 1,123.08
  4. Step 4: Simplify right side
    1,744.44x = 2,926,875.63
  5. Step 5: Solve for x
    x = 2,926,875.63/1,744.44
  6. Step 6: Final answer
    x = 1,677.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.