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Finding the Fourth Proportional to 1,801.92, 2,701.16 and 705.92

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Solution

The fourth proportional to 1,801.92, 2,701.16 and 705.92 is: 1,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.92 : 2,701.16 = 705.92 : x
  2. Step 2: Convert to fraction form
    1,801.92/2,701.16 = 705.92/x
  3. Step 3: Cross multiply
    1,801.92x = 2,701.16 × 705.92
  4. Step 4: Simplify right side
    1,801.92x = 1,906,802.87
  5. Step 5: Solve for x
    x = 1,906,802.87/1,801.92
  6. Step 6: Final answer
    x = 1,058.21

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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.