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Finding the Fourth Proportional to 2,297.78, 3,459.18 and 2,093.66

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Solution

The fourth proportional to 2,297.78, 3,459.18 and 2,093.66 is: 3,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.78 : 3,459.18 = 2,093.66 : x
  2. Step 2: Convert to fraction form
    2,297.78/3,459.18 = 2,093.66/x
  3. Step 3: Cross multiply
    2,297.78x = 3,459.18 × 2,093.66
  4. Step 4: Simplify right side
    2,297.78x = 7,242,329.50
  5. Step 5: Solve for x
    x = 7,242,329.50/2,297.78
  6. Step 6: Final answer
    x = 3,151.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.