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Finding the Fourth Proportional to 2,746.47, 3,790.08 and 1,567.38

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Solution

The fourth proportional to 2,746.47, 3,790.08 and 1,567.38 is: 2,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.47 : 3,790.08 = 1,567.38 : x
  2. Step 2: Convert to fraction form
    2,746.47/3,790.08 = 1,567.38/x
  3. Step 3: Cross multiply
    2,746.47x = 3,790.08 × 1,567.38
  4. Step 4: Simplify right side
    2,746.47x = 5,940,495.59
  5. Step 5: Solve for x
    x = 5,940,495.59/2,746.47
  6. Step 6: Final answer
    x = 2,162.96

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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.