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Finding the Fourth Proportional to 2,861.60, 3,948.57 and 1,602.63

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Solution

The fourth proportional to 2,861.60, 3,948.57 and 1,602.63 is: 2,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.60 : 3,948.57 = 1,602.63 : x
  2. Step 2: Convert to fraction form
    2,861.60/3,948.57 = 1,602.63/x
  3. Step 3: Cross multiply
    2,861.60x = 3,948.57 × 1,602.63
  4. Step 4: Simplify right side
    2,861.60x = 6,328,096.74
  5. Step 5: Solve for x
    x = 6,328,096.74/2,861.60
  6. Step 6: Final answer
    x = 2,211.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.