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Finding the Fourth Proportional to 3,302.78, 4,556.66 and 1,976.00

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Solution

The fourth proportional to 3,302.78, 4,556.66 and 1,976.00 is: 2,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.78 : 4,556.66 = 1,976.00 : x
  2. Step 2: Convert to fraction form
    3,302.78/4,556.66 = 1,976.00/x
  3. Step 3: Cross multiply
    3,302.78x = 4,556.66 × 1,976.00
  4. Step 4: Simplify right side
    3,302.78x = 9,003,927.50
  5. Step 5: Solve for x
    x = 9,003,927.50/3,302.78
  6. Step 6: Final answer
    x = 2,726.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.