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Finding the Fourth Proportional to 2,977.62, 4,467.06 and 897.78

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Solution

The fourth proportional to 2,977.62, 4,467.06 and 897.78 is: 1,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.62 : 4,467.06 = 897.78 : x
  2. Step 2: Convert to fraction form
    2,977.62/4,467.06 = 897.78/x
  3. Step 3: Cross multiply
    2,977.62x = 4,467.06 × 897.78
  4. Step 4: Simplify right side
    2,977.62x = 4,010,437.13
  5. Step 5: Solve for x
    x = 4,010,437.13/2,977.62
  6. Step 6: Final answer
    x = 1,346.86

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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.