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Finding the Fourth Proportional to 2,267.58, 3,127.34 and 1,915.22

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Solution

The fourth proportional to 2,267.58, 3,127.34 and 1,915.22 is: 2,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.58 : 3,127.34 = 1,915.22 : x
  2. Step 2: Convert to fraction form
    2,267.58/3,127.34 = 1,915.22/x
  3. Step 3: Cross multiply
    2,267.58x = 3,127.34 × 1,915.22
  4. Step 4: Simplify right side
    2,267.58x = 5,989,544.11
  5. Step 5: Solve for x
    x = 5,989,544.11/2,267.58
  6. Step 6: Final answer
    x = 2,641.38

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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.