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Finding the Fourth Proportional to 2,861.63, 4,292.45 and 1,562.39

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Solution

The fourth proportional to 2,861.63, 4,292.45 and 1,562.39 is: 2,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.63 : 4,292.45 = 1,562.39 : x
  2. Step 2: Convert to fraction form
    2,861.63/4,292.45 = 1,562.39/x
  3. Step 3: Cross multiply
    2,861.63x = 4,292.45 × 1,562.39
  4. Step 4: Simplify right side
    2,861.63x = 6,706,473.14
  5. Step 5: Solve for x
    x = 6,706,473.14/2,861.63
  6. Step 6: Final answer
    x = 2,343.59

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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.