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Finding the Fourth Proportional to 2,019.15, 2,786.06 and 1,274.13

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Solution

The fourth proportional to 2,019.15, 2,786.06 and 1,274.13 is: 1,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.15 : 2,786.06 = 1,274.13 : x
  2. Step 2: Convert to fraction form
    2,019.15/2,786.06 = 1,274.13/x
  3. Step 3: Cross multiply
    2,019.15x = 2,786.06 × 1,274.13
  4. Step 4: Simplify right side
    2,019.15x = 3,549,805.81
  5. Step 5: Solve for x
    x = 3,549,805.81/2,019.15
  6. Step 6: Final answer
    x = 1,758.07

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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.