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Finding the Fourth Proportional to 3,459.64, 4,773.96 and 1,967.64

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Solution

The fourth proportional to 3,459.64, 4,773.96 and 1,967.64 is: 2,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.64 : 4,773.96 = 1,967.64 : x
  2. Step 2: Convert to fraction form
    3,459.64/4,773.96 = 1,967.64/x
  3. Step 3: Cross multiply
    3,459.64x = 4,773.96 × 1,967.64
  4. Step 4: Simplify right side
    3,459.64x = 9,393,434.65
  5. Step 5: Solve for x
    x = 9,393,434.65/3,459.64
  6. Step 6: Final answer
    x = 2,715.15

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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.