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Finding the Fourth Proportional to 3,424.86, 4,724.76 and 2,008.63

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Solution

The fourth proportional to 3,424.86, 4,724.76 and 2,008.63 is: 2,771.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.86 : 4,724.76 = 2,008.63 : x
  2. Step 2: Convert to fraction form
    3,424.86/4,724.76 = 2,008.63/x
  3. Step 3: Cross multiply
    3,424.86x = 4,724.76 × 2,008.63
  4. Step 4: Simplify right side
    3,424.86x = 9,490,308.12
  5. Step 5: Solve for x
    x = 9,490,308.12/3,424.86
  6. Step 6: Final answer
    x = 2,771.01

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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.