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Finding the Fourth Proportional to 2,959.51, 4,083.54 and 2,211.83

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Solution

The fourth proportional to 2,959.51, 4,083.54 and 2,211.83 is: 3,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.51 : 4,083.54 = 2,211.83 : x
  2. Step 2: Convert to fraction form
    2,959.51/4,083.54 = 2,211.83/x
  3. Step 3: Cross multiply
    2,959.51x = 4,083.54 × 2,211.83
  4. Step 4: Simplify right side
    2,959.51x = 9,032,100.59
  5. Step 5: Solve for x
    x = 9,032,100.59/2,959.51
  6. Step 6: Final answer
    x = 3,051.89

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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.