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Finding the Fourth Proportional to 2,407.74, 3,612.12 and 847.68

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Solution

The fourth proportional to 2,407.74, 3,612.12 and 847.68 is: 1,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.74 : 3,612.12 = 847.68 : x
  2. Step 2: Convert to fraction form
    2,407.74/3,612.12 = 847.68/x
  3. Step 3: Cross multiply
    2,407.74x = 3,612.12 × 847.68
  4. Step 4: Simplify right side
    2,407.74x = 3,061,912.62
  5. Step 5: Solve for x
    x = 3,061,912.62/2,407.74
  6. Step 6: Final answer
    x = 1,271.70

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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.