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Finding the Fourth Proportional to 2,920.96, 4,030.91 and 1,594.65

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Solution

The fourth proportional to 2,920.96, 4,030.91 and 1,594.65 is: 2,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.96 : 4,030.91 = 1,594.65 : x
  2. Step 2: Convert to fraction form
    2,920.96/4,030.91 = 1,594.65/x
  3. Step 3: Cross multiply
    2,920.96x = 4,030.91 × 1,594.65
  4. Step 4: Simplify right side
    2,920.96x = 6,427,912.72
  5. Step 5: Solve for x
    x = 6,427,912.72/2,920.96
  6. Step 6: Final answer
    x = 2,200.62

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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.