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Finding the Fourth Proportional to 1,904.88, 2,857.32 and 606.46

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Solution

The fourth proportional to 1,904.88, 2,857.32 and 606.46 is: 909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.88 : 2,857.32 = 606.46 : x
  2. Step 2: Convert to fraction form
    1,904.88/2,857.32 = 606.46/x
  3. Step 3: Cross multiply
    1,904.88x = 2,857.32 × 606.46
  4. Step 4: Simplify right side
    1,904.88x = 1,732,850.29
  5. Step 5: Solve for x
    x = 1,732,850.29/1,904.88
  6. Step 6: Final answer
    x = 909.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.