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Finding the Fourth Proportional to 2,859.50, 3,946.17 and 2,230.74

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Solution

The fourth proportional to 2,859.50, 3,946.17 and 2,230.74 is: 3,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.50 : 3,946.17 = 2,230.74 : x
  2. Step 2: Convert to fraction form
    2,859.50/3,946.17 = 2,230.74/x
  3. Step 3: Cross multiply
    2,859.50x = 3,946.17 × 2,230.74
  4. Step 4: Simplify right side
    2,859.50x = 8,802,875.08
  5. Step 5: Solve for x
    x = 8,802,875.08/2,859.50
  6. Step 6: Final answer
    x = 3,078.46

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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.