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Finding the Fourth Proportional to 2,782.95, 4,184.01 and 2,238.95

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Solution

The fourth proportional to 2,782.95, 4,184.01 and 2,238.95 is: 3,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.95 : 4,184.01 = 2,238.95 : x
  2. Step 2: Convert to fraction form
    2,782.95/4,184.01 = 2,238.95/x
  3. Step 3: Cross multiply
    2,782.95x = 4,184.01 × 2,238.95
  4. Step 4: Simplify right side
    2,782.95x = 9,367,768.27
  5. Step 5: Solve for x
    x = 9,367,768.27/2,782.95
  6. Step 6: Final answer
    x = 3,366.13

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1.5x scale

Why These Related Problems?

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