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Finding the Fourth Proportional to 2,097.51, 3,145.54 and 864.35

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Solution

The fourth proportional to 2,097.51, 3,145.54 and 864.35 is: 1,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.51 : 3,145.54 = 864.35 : x
  2. Step 2: Convert to fraction form
    2,097.51/3,145.54 = 864.35/x
  3. Step 3: Cross multiply
    2,097.51x = 3,145.54 × 864.35
  4. Step 4: Simplify right side
    2,097.51x = 2,718,847.50
  5. Step 5: Solve for x
    x = 2,718,847.50/2,097.51
  6. Step 6: Final answer
    x = 1,296.23

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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.