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Finding the Fourth Proportional to 2,567.47, 3,851.73 and 812.93

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Solution

The fourth proportional to 2,567.47, 3,851.73 and 812.93 is: 1,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.47 : 3,851.73 = 812.93 : x
  2. Step 2: Convert to fraction form
    2,567.47/3,851.73 = 812.93/x
  3. Step 3: Cross multiply
    2,567.47x = 3,851.73 × 812.93
  4. Step 4: Simplify right side
    2,567.47x = 3,131,186.87
  5. Step 5: Solve for x
    x = 3,131,186.87/2,567.47
  6. Step 6: Final answer
    x = 1,219.56

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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.