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Finding the Fourth Proportional to 2,861.35, 3,948.45 and 1,602.34

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Solution

The fourth proportional to 2,861.35, 3,948.45 and 1,602.34 is: 2,211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.35 : 3,948.45 = 1,602.34 : x
  2. Step 2: Convert to fraction form
    2,861.35/3,948.45 = 1,602.34/x
  3. Step 3: Cross multiply
    2,861.35x = 3,948.45 × 1,602.34
  4. Step 4: Simplify right side
    2,861.35x = 6,326,759.37
  5. Step 5: Solve for x
    x = 6,326,759.37/2,861.35
  6. Step 6: Final answer
    x = 2,211.11

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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.