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Finding the Fourth Proportional to 2,920.96, 4,374.72 and 1,866.70

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Solution

The fourth proportional to 2,920.96, 4,374.72 and 1,866.70 is: 2,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.96 : 4,374.72 = 1,866.70 : x
  2. Step 2: Convert to fraction form
    2,920.96/4,374.72 = 1,866.70/x
  3. Step 3: Cross multiply
    2,920.96x = 4,374.72 × 1,866.70
  4. Step 4: Simplify right side
    2,920.96x = 8,166,289.82
  5. Step 5: Solve for x
    x = 8,166,289.82/2,920.96
  6. Step 6: Final answer
    x = 2,795.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.