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Finding the Fourth Proportional to 2,095.26, 3,143.02 and 1,964.04

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Solution

The fourth proportional to 2,095.26, 3,143.02 and 1,964.04 is: 2,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.26 : 3,143.02 = 1,964.04 : x
  2. Step 2: Convert to fraction form
    2,095.26/3,143.02 = 1,964.04/x
  3. Step 3: Cross multiply
    2,095.26x = 3,143.02 × 1,964.04
  4. Step 4: Simplify right side
    2,095.26x = 6,173,017.00
  5. Step 5: Solve for x
    x = 6,173,017.00/2,095.26
  6. Step 6: Final answer
    x = 2,946.18

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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.