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Finding the Fourth Proportional to 2,977.29, 4,466.67 and 897.25

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Solution

The fourth proportional to 2,977.29, 4,466.67 and 897.25 is: 1,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.29 : 4,466.67 = 897.25 : x
  2. Step 2: Convert to fraction form
    2,977.29/4,466.67 = 897.25/x
  3. Step 3: Cross multiply
    2,977.29x = 4,466.67 × 897.25
  4. Step 4: Simplify right side
    2,977.29x = 4,007,697.32
  5. Step 5: Solve for x
    x = 4,007,697.32/2,977.29
  6. Step 6: Final answer
    x = 1,346.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.