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Finding the Fourth Proportional to 2,175.88, 3,264.32 and 715.08

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Solution

The fourth proportional to 2,175.88, 3,264.32 and 715.08 is: 1,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.88 : 3,264.32 = 715.08 : x
  2. Step 2: Convert to fraction form
    2,175.88/3,264.32 = 715.08/x
  3. Step 3: Cross multiply
    2,175.88x = 3,264.32 × 715.08
  4. Step 4: Simplify right side
    2,175.88x = 2,334,249.95
  5. Step 5: Solve for x
    x = 2,334,249.95/2,175.88
  6. Step 6: Final answer
    x = 1,072.78

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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.