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Finding the Fourth Proportional to 2,859.60, 3,946.44 and 1,600.77

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Solution

The fourth proportional to 2,859.60, 3,946.44 and 1,600.77 is: 2,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.60 : 3,946.44 = 1,600.77 : x
  2. Step 2: Convert to fraction form
    2,859.60/3,946.44 = 1,600.77/x
  3. Step 3: Cross multiply
    2,859.60x = 3,946.44 × 1,600.77
  4. Step 4: Simplify right side
    2,859.60x = 6,317,342.76
  5. Step 5: Solve for x
    x = 6,317,342.76/2,859.60
  6. Step 6: Final answer
    x = 2,209.17

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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.