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Finding the Fourth Proportional to 2,794.85, 4,192.10 and 1,559.49

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Solution

The fourth proportional to 2,794.85, 4,192.10 and 1,559.49 is: 2,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.85 : 4,192.10 = 1,559.49 : x
  2. Step 2: Convert to fraction form
    2,794.85/4,192.10 = 1,559.49/x
  3. Step 3: Cross multiply
    2,794.85x = 4,192.10 × 1,559.49
  4. Step 4: Simplify right side
    2,794.85x = 6,537,538.03
  5. Step 5: Solve for x
    x = 6,537,538.03/2,794.85
  6. Step 6: Final answer
    x = 2,339.14

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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.