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Finding the Fourth Proportional to 2,977.86, 4,466.79 and 1,753.80

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Solution

The fourth proportional to 2,977.86, 4,466.79 and 1,753.80 is: 2,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.86 : 4,466.79 = 1,753.80 : x
  2. Step 2: Convert to fraction form
    2,977.86/4,466.79 = 1,753.80/x
  3. Step 3: Cross multiply
    2,977.86x = 4,466.79 × 1,753.80
  4. Step 4: Simplify right side
    2,977.86x = 7,833,856.30
  5. Step 5: Solve for x
    x = 7,833,856.30/2,977.86
  6. Step 6: Final answer
    x = 2,630.70

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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.