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Finding the Fourth Proportional to 2,160.95, 2,984.31 and 1,861.62

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Solution

The fourth proportional to 2,160.95, 2,984.31 and 1,861.62 is: 2,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.95 : 2,984.31 = 1,861.62 : x
  2. Step 2: Convert to fraction form
    2,160.95/2,984.31 = 1,861.62/x
  3. Step 3: Cross multiply
    2,160.95x = 2,984.31 × 1,861.62
  4. Step 4: Simplify right side
    2,160.95x = 5,555,639.99
  5. Step 5: Solve for x
    x = 5,555,639.99/2,160.95
  6. Step 6: Final answer
    x = 2,570.93

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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.