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Finding the Fourth Proportional to 2,808.76, 3,876.08 and 1,566.76

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Solution

The fourth proportional to 2,808.76, 3,876.08 and 1,566.76 is: 2,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.76 : 3,876.08 = 1,566.76 : x
  2. Step 2: Convert to fraction form
    2,808.76/3,876.08 = 1,566.76/x
  3. Step 3: Cross multiply
    2,808.76x = 3,876.08 × 1,566.76
  4. Step 4: Simplify right side
    2,808.76x = 6,072,887.10
  5. Step 5: Solve for x
    x = 6,072,887.10/2,808.76
  6. Step 6: Final answer
    x = 2,162.12

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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.