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Finding the Fourth Proportional to 2,203.06, 3,305.10 and 970.82

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Solution

The fourth proportional to 2,203.06, 3,305.10 and 970.82 is: 1,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.06 : 3,305.10 = 970.82 : x
  2. Step 2: Convert to fraction form
    2,203.06/3,305.10 = 970.82/x
  3. Step 3: Cross multiply
    2,203.06x = 3,305.10 × 970.82
  4. Step 4: Simplify right side
    2,203.06x = 3,208,670.63
  5. Step 5: Solve for x
    x = 3,208,670.63/2,203.06
  6. Step 6: Final answer
    x = 1,456.46

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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.