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Finding the Fourth Proportional to 2,567.21, 3,852 and 1,007.63

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Solution

The fourth proportional to 2,567.21, 3,852 and 1,007.63 is: 1,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.21 : 3,852 = 1,007.63 : x
  2. Step 2: Convert to fraction form
    2,567.21/3,852 = 1,007.63/x
  3. Step 3: Cross multiply
    2,567.21x = 3,852 × 1,007.63
  4. Step 4: Simplify right side
    2,567.21x = 3,881,375.11
  5. Step 5: Solve for x
    x = 3,881,375.11/2,567.21
  6. Step 6: Final answer
    x = 1,511.90

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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.