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Finding the Fourth Proportional to 2,805.93, 4,207.86 and 931.48

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Solution

The fourth proportional to 2,805.93, 4,207.86 and 931.48 is: 1,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.93 : 4,207.86 = 931.48 : x
  2. Step 2: Convert to fraction form
    2,805.93/4,207.86 = 931.48/x
  3. Step 3: Cross multiply
    2,805.93x = 4,207.86 × 931.48
  4. Step 4: Simplify right side
    2,805.93x = 3,919,526.91
  5. Step 5: Solve for x
    x = 3,919,526.91/2,805.93
  6. Step 6: Final answer
    x = 1,396.87

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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.