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Finding the Fourth Proportional to 2,977.32, 4,463.22 and 2,731.28

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Solution

The fourth proportional to 2,977.32, 4,463.22 and 2,731.28 is: 4,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.32 : 4,463.22 = 2,731.28 : x
  2. Step 2: Convert to fraction form
    2,977.32/4,463.22 = 2,731.28/x
  3. Step 3: Cross multiply
    2,977.32x = 4,463.22 × 2,731.28
  4. Step 4: Simplify right side
    2,977.32x = 12,190,303.52
  5. Step 5: Solve for x
    x = 12,190,303.52/2,977.32
  6. Step 6: Final answer
    x = 4,094.39

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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.