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Finding the Fourth Proportional to 2,145.78, 3,219.72 and 976.56

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Solution

The fourth proportional to 2,145.78, 3,219.72 and 976.56 is: 1,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.78 : 3,219.72 = 976.56 : x
  2. Step 2: Convert to fraction form
    2,145.78/3,219.72 = 976.56/x
  3. Step 3: Cross multiply
    2,145.78x = 3,219.72 × 976.56
  4. Step 4: Simplify right side
    2,145.78x = 3,144,249.76
  5. Step 5: Solve for x
    x = 3,144,249.76/2,145.78
  6. Step 6: Final answer
    x = 1,465.32

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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.