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Finding the Fourth Proportional to 3,482.64, 4,805.64 and 1,910.70

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Solution

The fourth proportional to 3,482.64, 4,805.64 and 1,910.70 is: 2,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.64 : 4,805.64 = 1,910.70 : x
  2. Step 2: Convert to fraction form
    3,482.64/4,805.64 = 1,910.70/x
  3. Step 3: Cross multiply
    3,482.64x = 4,805.64 × 1,910.70
  4. Step 4: Simplify right side
    3,482.64x = 9,182,136.35
  5. Step 5: Solve for x
    x = 9,182,136.35/3,482.64
  6. Step 6: Final answer
    x = 2,636.54

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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.