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Finding the Fourth Proportional to 2,920.56, 4,030.20 and 1,661.44

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Solution

The fourth proportional to 2,920.56, 4,030.20 and 1,661.44 is: 2,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.56 : 4,030.20 = 1,661.44 : x
  2. Step 2: Convert to fraction form
    2,920.56/4,030.20 = 1,661.44/x
  3. Step 3: Cross multiply
    2,920.56x = 4,030.20 × 1,661.44
  4. Step 4: Simplify right side
    2,920.56x = 6,695,935.49
  5. Step 5: Solve for x
    x = 6,695,935.49/2,920.56
  6. Step 6: Final answer
    x = 2,292.69

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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.