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Finding the Fourth Proportional to 2,776.06, 4,166.12 and 2,047.60

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Solution

The fourth proportional to 2,776.06, 4,166.12 and 2,047.60 is: 3,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.06 : 4,166.12 = 2,047.60 : x
  2. Step 2: Convert to fraction form
    2,776.06/4,166.12 = 2,047.60/x
  3. Step 3: Cross multiply
    2,776.06x = 4,166.12 × 2,047.60
  4. Step 4: Simplify right side
    2,776.06x = 8,530,547.31
  5. Step 5: Solve for x
    x = 8,530,547.31/2,776.06
  6. Step 6: Final answer
    x = 3,072.90

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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.