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Finding the Fourth Proportional to 2,807.78, 3,873.49 and 1,688.06

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Solution

The fourth proportional to 2,807.78, 3,873.49 and 1,688.06 is: 2,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.78 : 3,873.49 = 1,688.06 : x
  2. Step 2: Convert to fraction form
    2,807.78/3,873.49 = 1,688.06/x
  3. Step 3: Cross multiply
    2,807.78x = 3,873.49 × 1,688.06
  4. Step 4: Simplify right side
    2,807.78x = 6,538,688.99
  5. Step 5: Solve for x
    x = 6,538,688.99/2,807.78
  6. Step 6: Final answer
    x = 2,328.78

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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.