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Finding the Fourth Proportional to 2,861.01, 3,946.80 and 1,800.09

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Solution

The fourth proportional to 2,861.01, 3,946.80 and 1,800.09 is: 2,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.01 : 3,946.80 = 1,800.09 : x
  2. Step 2: Convert to fraction form
    2,861.01/3,946.80 = 1,800.09/x
  3. Step 3: Cross multiply
    2,861.01x = 3,946.80 × 1,800.09
  4. Step 4: Simplify right side
    2,861.01x = 7,104,595.21
  5. Step 5: Solve for x
    x = 7,104,595.21/2,861.01
  6. Step 6: Final answer
    x = 2,483.25

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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.