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Finding the Fourth Proportional to 2,737.82, 3,776.99 and 1,675.63

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Solution

The fourth proportional to 2,737.82, 3,776.99 and 1,675.63 is: 2,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.82 : 3,776.99 = 1,675.63 : x
  2. Step 2: Convert to fraction form
    2,737.82/3,776.99 = 1,675.63/x
  3. Step 3: Cross multiply
    2,737.82x = 3,776.99 × 1,675.63
  4. Step 4: Simplify right side
    2,737.82x = 6,328,832.50
  5. Step 5: Solve for x
    x = 6,328,832.50/2,737.82
  6. Step 6: Final answer
    x = 2,311.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.