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Finding the Fourth Proportional to 2,651.63, 3,977.44 and 703.85

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Solution

The fourth proportional to 2,651.63, 3,977.44 and 703.85 is: 1,055.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.63 : 3,977.44 = 703.85 : x
  2. Step 2: Convert to fraction form
    2,651.63/3,977.44 = 703.85/x
  3. Step 3: Cross multiply
    2,651.63x = 3,977.44 × 703.85
  4. Step 4: Simplify right side
    2,651.63x = 2,799,499.50
  5. Step 5: Solve for x
    x = 2,799,499.50/2,651.63
  6. Step 6: Final answer
    x = 1,055.77

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Similar ratio
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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.