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Finding the Fourth Proportional to 2,746.26, 4,128.03 and 2,385.54

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Solution

The fourth proportional to 2,746.26, 4,128.03 and 2,385.54 is: 3,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.26 : 4,128.03 = 2,385.54 : x
  2. Step 2: Convert to fraction form
    2,746.26/4,128.03 = 2,385.54/x
  3. Step 3: Cross multiply
    2,746.26x = 4,128.03 × 2,385.54
  4. Step 4: Simplify right side
    2,746.26x = 9,847,580.69
  5. Step 5: Solve for x
    x = 9,847,580.69/2,746.26
  6. Step 6: Final answer
    x = 3,585.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.