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Finding the Fourth Proportional to 1,971.41, 2,957.57 and 672.88

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Solution

The fourth proportional to 1,971.41, 2,957.57 and 672.88 is: 1,009.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.41 : 2,957.57 = 672.88 : x
  2. Step 2: Convert to fraction form
    1,971.41/2,957.57 = 672.88/x
  3. Step 3: Cross multiply
    1,971.41x = 2,957.57 × 672.88
  4. Step 4: Simplify right side
    1,971.41x = 1,990,089.70
  5. Step 5: Solve for x
    x = 1,990,089.70/1,971.41
  6. Step 6: Final answer
    x = 1,009.48

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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.