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Finding the Fourth Proportional to 2,078.52, 2,865.78 and 1,746.21

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Solution

The fourth proportional to 2,078.52, 2,865.78 and 1,746.21 is: 2,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.52 : 2,865.78 = 1,746.21 : x
  2. Step 2: Convert to fraction form
    2,078.52/2,865.78 = 1,746.21/x
  3. Step 3: Cross multiply
    2,078.52x = 2,865.78 × 1,746.21
  4. Step 4: Simplify right side
    2,078.52x = 5,004,253.69
  5. Step 5: Solve for x
    x = 5,004,253.69/2,078.52
  6. Step 6: Final answer
    x = 2,407.60

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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.