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Finding the Fourth Proportional to 2,985.69, 4,120.28 and 1,659.54

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Solution

The fourth proportional to 2,985.69, 4,120.28 and 1,659.54 is: 2,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.69 : 4,120.28 = 1,659.54 : x
  2. Step 2: Convert to fraction form
    2,985.69/4,120.28 = 1,659.54/x
  3. Step 3: Cross multiply
    2,985.69x = 4,120.28 × 1,659.54
  4. Step 4: Simplify right side
    2,985.69x = 6,837,769.47
  5. Step 5: Solve for x
    x = 6,837,769.47/2,985.69
  6. Step 6: Final answer
    x = 2,290.18

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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.