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Finding the Fourth Proportional to 2,348.96, 3,523.50 and 705.33

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Solution

The fourth proportional to 2,348.96, 3,523.50 and 705.33 is: 1,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.96 : 3,523.50 = 705.33 : x
  2. Step 2: Convert to fraction form
    2,348.96/3,523.50 = 705.33/x
  3. Step 3: Cross multiply
    2,348.96x = 3,523.50 × 705.33
  4. Step 4: Simplify right side
    2,348.96x = 2,485,230.26
  5. Step 5: Solve for x
    x = 2,485,230.26/2,348.96
  6. Step 6: Final answer
    x = 1,058.02

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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.