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Finding the Fourth Proportional to 2,959.81, 4,084.51 and 1,615.51

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Solution

The fourth proportional to 2,959.81, 4,084.51 and 1,615.51 is: 2,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.81 : 4,084.51 = 1,615.51 : x
  2. Step 2: Convert to fraction form
    2,959.81/4,084.51 = 1,615.51/x
  3. Step 3: Cross multiply
    2,959.81x = 4,084.51 × 1,615.51
  4. Step 4: Simplify right side
    2,959.81x = 6,598,566.75
  5. Step 5: Solve for x
    x = 6,598,566.75/2,959.81
  6. Step 6: Final answer
    x = 2,229.39

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Why These Related Problems?

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