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Finding the Fourth Proportional to 1,895.13, 2,843.26 and 971.34

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Solution

The fourth proportional to 1,895.13, 2,843.26 and 971.34 is: 1,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.13 : 2,843.26 = 971.34 : x
  2. Step 2: Convert to fraction form
    1,895.13/2,843.26 = 971.34/x
  3. Step 3: Cross multiply
    1,895.13x = 2,843.26 × 971.34
  4. Step 4: Simplify right side
    1,895.13x = 2,761,753.10
  5. Step 5: Solve for x
    x = 2,761,753.10/1,895.13
  6. Step 6: Final answer
    x = 1,457.29

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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.