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Finding the Fourth Proportional to 1,670.25, 2,304.96 and 971.64

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Solution

The fourth proportional to 1,670.25, 2,304.96 and 971.64 is: 1,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.25 : 2,304.96 = 971.64 : x
  2. Step 2: Convert to fraction form
    1,670.25/2,304.96 = 971.64/x
  3. Step 3: Cross multiply
    1,670.25x = 2,304.96 × 971.64
  4. Step 4: Simplify right side
    1,670.25x = 2,239,591.33
  5. Step 5: Solve for x
    x = 2,239,591.33/1,670.25
  6. Step 6: Final answer
    x = 1,340.87

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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.