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Finding the Fourth Proportional to 1,473.10, 2,032.90 and 843.59

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Solution

The fourth proportional to 1,473.10, 2,032.90 and 843.59 is: 1,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.10 : 2,032.90 = 843.59 : x
  2. Step 2: Convert to fraction form
    1,473.10/2,032.90 = 843.59/x
  3. Step 3: Cross multiply
    1,473.10x = 2,032.90 × 843.59
  4. Step 4: Simplify right side
    1,473.10x = 1,714,937.08
  5. Step 5: Solve for x
    x = 1,714,937.08/1,473.10
  6. Step 6: Final answer
    x = 1,164.17

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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.