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Finding the Fourth Proportional to 2,567.86, 3,851.80 and 620.06

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Solution

The fourth proportional to 2,567.86, 3,851.80 and 620.06 is: 930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.86 : 3,851.80 = 620.06 : x
  2. Step 2: Convert to fraction form
    2,567.86/3,851.80 = 620.06/x
  3. Step 3: Cross multiply
    2,567.86x = 3,851.80 × 620.06
  4. Step 4: Simplify right side
    2,567.86x = 2,388,355.19
  5. Step 5: Solve for x
    x = 2,388,355.19/2,567.86
  6. Step 6: Final answer
    x = 930.10

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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.