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Finding the Fourth Proportional to 2,346.82, 3,520.23 and 703.33

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Solution

The fourth proportional to 2,346.82, 3,520.23 and 703.33 is: 1,055.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.82 : 3,520.23 = 703.33 : x
  2. Step 2: Convert to fraction form
    2,346.82/3,520.23 = 703.33/x
  3. Step 3: Cross multiply
    2,346.82x = 3,520.23 × 703.33
  4. Step 4: Simplify right side
    2,346.82x = 2,475,883.37
  5. Step 5: Solve for x
    x = 2,475,883.37/2,346.82
  6. Step 6: Final answer
    x = 1,055.00

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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.