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Finding the Fourth Proportional to 2,567.54, 3,849.86 and 1,746.92

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Solution

The fourth proportional to 2,567.54, 3,849.86 and 1,746.92 is: 2,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.54 : 3,849.86 = 1,746.92 : x
  2. Step 2: Convert to fraction form
    2,567.54/3,849.86 = 1,746.92/x
  3. Step 3: Cross multiply
    2,567.54x = 3,849.86 × 1,746.92
  4. Step 4: Simplify right side
    2,567.54x = 6,725,382.55
  5. Step 5: Solve for x
    x = 6,725,382.55/2,567.54
  6. Step 6: Final answer
    x = 2,619.39

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Why These Related Problems?

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