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Finding the Fourth Proportional to 1,744.47, 2,406.78 and 1,036.13

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Solution

The fourth proportional to 1,744.47, 2,406.78 and 1,036.13 is: 1,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.47 : 2,406.78 = 1,036.13 : x
  2. Step 2: Convert to fraction form
    1,744.47/2,406.78 = 1,036.13/x
  3. Step 3: Cross multiply
    1,744.47x = 2,406.78 × 1,036.13
  4. Step 4: Simplify right side
    1,744.47x = 2,493,724.93
  5. Step 5: Solve for x
    x = 2,493,724.93/1,744.47
  6. Step 6: Final answer
    x = 1,429.50

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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.