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Finding the Fourth Proportional to 2,647.64, 3,651.68 and 1,850.70

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Solution

The fourth proportional to 2,647.64, 3,651.68 and 1,850.70 is: 2,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.64 : 3,651.68 = 1,850.70 : x
  2. Step 2: Convert to fraction form
    2,647.64/3,651.68 = 1,850.70/x
  3. Step 3: Cross multiply
    2,647.64x = 3,651.68 × 1,850.70
  4. Step 4: Simplify right side
    2,647.64x = 6,758,164.18
  5. Step 5: Solve for x
    x = 6,758,164.18/2,647.64
  6. Step 6: Final answer
    x = 2,552.52

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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.