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Finding the Fourth Proportional to 1,744.01, 2,409.86 and 1,297.69

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Solution

The fourth proportional to 1,744.01, 2,409.86 and 1,297.69 is: 1,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.01 : 2,409.86 = 1,297.69 : x
  2. Step 2: Convert to fraction form
    1,744.01/2,409.86 = 1,297.69/x
  3. Step 3: Cross multiply
    1,744.01x = 2,409.86 × 1,297.69
  4. Step 4: Simplify right side
    1,744.01x = 3,127,244.79
  5. Step 5: Solve for x
    x = 3,127,244.79/1,744.01
  6. Step 6: Final answer
    x = 1,793.13

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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.