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Finding the Fourth Proportional to 1,767.32, 2,660.22 and 1,597.66

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Solution

The fourth proportional to 1,767.32, 2,660.22 and 1,597.66 is: 2,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.32 : 2,660.22 = 1,597.66 : x
  2. Step 2: Convert to fraction form
    1,767.32/2,660.22 = 1,597.66/x
  3. Step 3: Cross multiply
    1,767.32x = 2,660.22 × 1,597.66
  4. Step 4: Simplify right side
    1,767.32x = 4,250,127.09
  5. Step 5: Solve for x
    x = 4,250,127.09/1,767.32
  6. Step 6: Final answer
    x = 2,404.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.