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Finding the Fourth Proportional to 2,865.54, 3,953.72 and 1,746.41

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Solution

The fourth proportional to 2,865.54, 3,953.72 and 1,746.41 is: 2,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.54 : 3,953.72 = 1,746.41 : x
  2. Step 2: Convert to fraction form
    2,865.54/3,953.72 = 1,746.41/x
  3. Step 3: Cross multiply
    2,865.54x = 3,953.72 × 1,746.41
  4. Step 4: Simplify right side
    2,865.54x = 6,904,825.44
  5. Step 5: Solve for x
    x = 6,904,825.44/2,865.54
  6. Step 6: Final answer
    x = 2,409.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.