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Finding the Fourth Proportional to 2,567.83, 3,851.75 and 718.96

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Solution

The fourth proportional to 2,567.83, 3,851.75 and 718.96 is: 1,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.83 : 3,851.75 = 718.96 : x
  2. Step 2: Convert to fraction form
    2,567.83/3,851.75 = 718.96/x
  3. Step 3: Cross multiply
    2,567.83x = 3,851.75 × 718.96
  4. Step 4: Simplify right side
    2,567.83x = 2,769,254.18
  5. Step 5: Solve for x
    x = 2,769,254.18/2,567.83
  6. Step 6: Final answer
    x = 1,078.44

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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.