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Finding the Fourth Proportional to 3,494.90, 4,818 and 2,498.44

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Solution

The fourth proportional to 3,494.90, 4,818 and 2,498.44 is: 3,444.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.90 : 4,818 = 2,498.44 : x
  2. Step 2: Convert to fraction form
    3,494.90/4,818 = 2,498.44/x
  3. Step 3: Cross multiply
    3,494.90x = 4,818 × 2,498.44
  4. Step 4: Simplify right side
    3,494.90x = 12,037,471.88
  5. Step 5: Solve for x
    x = 12,037,471.88/3,494.90
  6. Step 6: Final answer
    x = 3,444.30

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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.