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Finding the Fourth Proportional to 2,185.04, 3,275.50 and 1,015.16

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Solution

The fourth proportional to 2,185.04, 3,275.50 and 1,015.16 is: 1,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.04 : 3,275.50 = 1,015.16 : x
  2. Step 2: Convert to fraction form
    2,185.04/3,275.50 = 1,015.16/x
  3. Step 3: Cross multiply
    2,185.04x = 3,275.50 × 1,015.16
  4. Step 4: Simplify right side
    2,185.04x = 3,325,156.58
  5. Step 5: Solve for x
    x = 3,325,156.58/2,185.04
  6. Step 6: Final answer
    x = 1,521.78

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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.