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Finding the Fourth Proportional to 2,859.63, 3,946.47 and 1,600.77

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Solution

The fourth proportional to 2,859.63, 3,946.47 and 1,600.77 is: 2,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.63 : 3,946.47 = 1,600.77 : x
  2. Step 2: Convert to fraction form
    2,859.63/3,946.47 = 1,600.77/x
  3. Step 3: Cross multiply
    2,859.63x = 3,946.47 × 1,600.77
  4. Step 4: Simplify right side
    2,859.63x = 6,317,390.78
  5. Step 5: Solve for x
    x = 6,317,390.78/2,859.63
  6. Step 6: Final answer
    x = 2,209.16

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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.