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Finding the Fourth Proportional to 2,977.36, 4,467.24 and 1,332.78

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Solution

The fourth proportional to 2,977.36, 4,467.24 and 1,332.78 is: 1,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.36 : 4,467.24 = 1,332.78 : x
  2. Step 2: Convert to fraction form
    2,977.36/4,467.24 = 1,332.78/x
  3. Step 3: Cross multiply
    2,977.36x = 4,467.24 × 1,332.78
  4. Step 4: Simplify right side
    2,977.36x = 5,953,848.13
  5. Step 5: Solve for x
    x = 5,953,848.13/2,977.36
  6. Step 6: Final answer
    x = 1,999.71

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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.