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Finding the Fourth Proportional to 2,175, 3,002.04 and 1,244.04

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Solution

The fourth proportional to 2,175, 3,002.04 and 1,244.04 is: 1,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175 : 3,002.04 = 1,244.04 : x
  2. Step 2: Convert to fraction form
    2,175/3,002.04 = 1,244.04/x
  3. Step 3: Cross multiply
    2,175x = 3,002.04 × 1,244.04
  4. Step 4: Simplify right side
    2,175x = 3,734,657.84
  5. Step 5: Solve for x
    x = 3,734,657.84/2,175
  6. Step 6: Final answer
    x = 1,717.08

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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.