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Finding the Fourth Proportional to 3,092.57, 4,267.74 and 1,695.41

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Solution

The fourth proportional to 3,092.57, 4,267.74 and 1,695.41 is: 2,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.57 : 4,267.74 = 1,695.41 : x
  2. Step 2: Convert to fraction form
    3,092.57/4,267.74 = 1,695.41/x
  3. Step 3: Cross multiply
    3,092.57x = 4,267.74 × 1,695.41
  4. Step 4: Simplify right side
    3,092.57x = 7,235,539.26
  5. Step 5: Solve for x
    x = 7,235,539.26/3,092.57
  6. Step 6: Final answer
    x = 2,339.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.