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Finding the Fourth Proportional to 1,744.40, 2,406.80 and 1,036.26

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Solution

The fourth proportional to 1,744.40, 2,406.80 and 1,036.26 is: 1,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.40 : 2,406.80 = 1,036.26 : x
  2. Step 2: Convert to fraction form
    1,744.40/2,406.80 = 1,036.26/x
  3. Step 3: Cross multiply
    1,744.40x = 2,406.80 × 1,036.26
  4. Step 4: Simplify right side
    1,744.40x = 2,494,070.57
  5. Step 5: Solve for x
    x = 2,494,070.57/1,744.40
  6. Step 6: Final answer
    x = 1,429.76

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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.