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Finding the Fourth Proportional to 2,795.58, 3,857.70 and 1,616.58

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Solution

The fourth proportional to 2,795.58, 3,857.70 and 1,616.58 is: 2,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.58 : 3,857.70 = 1,616.58 : x
  2. Step 2: Convert to fraction form
    2,795.58/3,857.70 = 1,616.58/x
  3. Step 3: Cross multiply
    2,795.58x = 3,857.70 × 1,616.58
  4. Step 4: Simplify right side
    2,795.58x = 6,236,280.67
  5. Step 5: Solve for x
    x = 6,236,280.67/2,795.58
  6. Step 6: Final answer
    x = 2,230.76

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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.