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Finding the Fourth Proportional to 3,459.69, 4,773.74 and 1,967.49

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Solution

The fourth proportional to 3,459.69, 4,773.74 and 1,967.49 is: 2,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.69 : 4,773.74 = 1,967.49 : x
  2. Step 2: Convert to fraction form
    3,459.69/4,773.74 = 1,967.49/x
  3. Step 3: Cross multiply
    3,459.69x = 4,773.74 × 1,967.49
  4. Step 4: Simplify right side
    3,459.69x = 9,392,275.88
  5. Step 5: Solve for x
    x = 9,392,275.88/3,459.69
  6. Step 6: Final answer
    x = 2,714.77

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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.