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Finding the Fourth Proportional to 2,983.51, 4,114.04 and 1,864.04

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Solution

The fourth proportional to 2,983.51, 4,114.04 and 1,864.04 is: 2,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.51 : 4,114.04 = 1,864.04 : x
  2. Step 2: Convert to fraction form
    2,983.51/4,114.04 = 1,864.04/x
  3. Step 3: Cross multiply
    2,983.51x = 4,114.04 × 1,864.04
  4. Step 4: Simplify right side
    2,983.51x = 7,668,743.08
  5. Step 5: Solve for x
    x = 7,668,743.08/2,983.51
  6. Step 6: Final answer
    x = 2,570.38

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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.