Home / 2,784.49-4,178.27-1,142.19

Finding the Fourth Proportional to 2,784.49, 4,178.27 and 1,142.19

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Solution

The fourth proportional to 2,784.49, 4,178.27 and 1,142.19 is: 1,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.49 : 4,178.27 = 1,142.19 : x
  2. Step 2: Convert to fraction form
    2,784.49/4,178.27 = 1,142.19/x
  3. Step 3: Cross multiply
    2,784.49x = 4,178.27 × 1,142.19
  4. Step 4: Simplify right side
    2,784.49x = 4,772,378.21
  5. Step 5: Solve for x
    x = 4,772,378.21/2,784.49
  6. Step 6: Final answer
    x = 1,713.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.