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Finding the Fourth Proportional to 2,782.44, 4,154.13 and 2,296.44

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Solution

The fourth proportional to 2,782.44, 4,154.13 and 2,296.44 is: 3,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.44 : 4,154.13 = 2,296.44 : x
  2. Step 2: Convert to fraction form
    2,782.44/4,154.13 = 2,296.44/x
  3. Step 3: Cross multiply
    2,782.44x = 4,154.13 × 2,296.44
  4. Step 4: Simplify right side
    2,782.44x = 9,539,710.30
  5. Step 5: Solve for x
    x = 9,539,710.30/2,782.44
  6. Step 6: Final answer
    x = 3,428.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.