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Finding the Fourth Proportional to 2,649.46, 3,970.08 and 2,063.07

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Solution

The fourth proportional to 2,649.46, 3,970.08 and 2,063.07 is: 3,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.46 : 3,970.08 = 2,063.07 : x
  2. Step 2: Convert to fraction form
    2,649.46/3,970.08 = 2,063.07/x
  3. Step 3: Cross multiply
    2,649.46x = 3,970.08 × 2,063.07
  4. Step 4: Simplify right side
    2,649.46x = 8,190,552.95
  5. Step 5: Solve for x
    x = 8,190,552.95/2,649.46
  6. Step 6: Final answer
    x = 3,091.40

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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.