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Finding the Fourth Proportional to 2,977.48, 4,466.13 and 786.22

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Solution

The fourth proportional to 2,977.48, 4,466.13 and 786.22 is: 1,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.48 : 4,466.13 = 786.22 : x
  2. Step 2: Convert to fraction form
    2,977.48/4,466.13 = 786.22/x
  3. Step 3: Cross multiply
    2,977.48x = 4,466.13 × 786.22
  4. Step 4: Simplify right side
    2,977.48x = 3,511,371.74
  5. Step 5: Solve for x
    x = 3,511,371.74/2,977.48
  6. Step 6: Final answer
    x = 1,179.31

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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.