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Finding the Fourth Proportional to 2,893.65, 3,993.23 and 1,567.35

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Solution

The fourth proportional to 2,893.65, 3,993.23 and 1,567.35 is: 2,162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.65 : 3,993.23 = 1,567.35 : x
  2. Step 2: Convert to fraction form
    2,893.65/3,993.23 = 1,567.35/x
  3. Step 3: Cross multiply
    2,893.65x = 3,993.23 × 1,567.35
  4. Step 4: Simplify right side
    2,893.65x = 6,258,781.20
  5. Step 5: Solve for x
    x = 6,258,781.20/2,893.65
  6. Step 6: Final answer
    x = 2,162.94

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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.