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Finding the Fourth Proportional to 2,101.78, 3,148.31 and 1,776.01

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Solution

The fourth proportional to 2,101.78, 3,148.31 and 1,776.01 is: 2,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.78 : 3,148.31 = 1,776.01 : x
  2. Step 2: Convert to fraction form
    2,101.78/3,148.31 = 1,776.01/x
  3. Step 3: Cross multiply
    2,101.78x = 3,148.31 × 1,776.01
  4. Step 4: Simplify right side
    2,101.78x = 5,591,405.42
  5. Step 5: Solve for x
    x = 5,591,405.42/2,101.78
  6. Step 6: Final answer
    x = 2,660.32

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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.