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Finding the Fourth Proportional to 2,977.09, 4,466.25 and 897.09

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Solution

The fourth proportional to 2,977.09, 4,466.25 and 897.09 is: 1,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.09 : 4,466.25 = 897.09 : x
  2. Step 2: Convert to fraction form
    2,977.09/4,466.25 = 897.09/x
  3. Step 3: Cross multiply
    2,977.09x = 4,466.25 × 897.09
  4. Step 4: Simplify right side
    2,977.09x = 4,006,628.21
  5. Step 5: Solve for x
    x = 4,006,628.21/2,977.09
  6. Step 6: Final answer
    x = 1,345.82

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1.5x scale

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.