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Finding the Fourth Proportional to 3,230.78, 4,459.05 and 1,904.40

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Solution

The fourth proportional to 3,230.78, 4,459.05 and 1,904.40 is: 2,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.78 : 4,459.05 = 1,904.40 : x
  2. Step 2: Convert to fraction form
    3,230.78/4,459.05 = 1,904.40/x
  3. Step 3: Cross multiply
    3,230.78x = 4,459.05 × 1,904.40
  4. Step 4: Simplify right side
    3,230.78x = 8,491,814.82
  5. Step 5: Solve for x
    x = 8,491,814.82/3,230.78
  6. Step 6: Final answer
    x = 2,628.41

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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.