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Finding the Fourth Proportional to 2,865.77, 3,954.74 and 1,746.47

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Solution

The fourth proportional to 2,865.77, 3,954.74 and 1,746.47 is: 2,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.77 : 3,954.74 = 1,746.47 : x
  2. Step 2: Convert to fraction form
    2,865.77/3,954.74 = 1,746.47/x
  3. Step 3: Cross multiply
    2,865.77x = 3,954.74 × 1,746.47
  4. Step 4: Simplify right side
    2,865.77x = 6,906,806.26
  5. Step 5: Solve for x
    x = 6,906,806.26/2,865.77
  6. Step 6: Final answer
    x = 2,410.11

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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.