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Finding the Fourth Proportional to 2,171.64, 3,257.46 and 711.08

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Solution

The fourth proportional to 2,171.64, 3,257.46 and 711.08 is: 1,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.64 : 3,257.46 = 711.08 : x
  2. Step 2: Convert to fraction form
    2,171.64/3,257.46 = 711.08/x
  3. Step 3: Cross multiply
    2,171.64x = 3,257.46 × 711.08
  4. Step 4: Simplify right side
    2,171.64x = 2,316,314.66
  5. Step 5: Solve for x
    x = 2,316,314.66/2,171.64
  6. Step 6: Final answer
    x = 1,066.62

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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.