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Finding the Fourth Proportional to 2,175.95, 3,264.10 and 695.38

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Solution

The fourth proportional to 2,175.95, 3,264.10 and 695.38 is: 1,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.95 : 3,264.10 = 695.38 : x
  2. Step 2: Convert to fraction form
    2,175.95/3,264.10 = 695.38/x
  3. Step 3: Cross multiply
    2,175.95x = 3,264.10 × 695.38
  4. Step 4: Simplify right side
    2,175.95x = 2,269,783.44
  5. Step 5: Solve for x
    x = 2,269,783.44/2,175.95
  6. Step 6: Final answer
    x = 1,043.13

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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.