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Finding the Fourth Proportional to 2,857.18, 4,285.73 and 909.36

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Solution

The fourth proportional to 2,857.18, 4,285.73 and 909.36 is: 1,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.18 : 4,285.73 = 909.36 : x
  2. Step 2: Convert to fraction form
    2,857.18/4,285.73 = 909.36/x
  3. Step 3: Cross multiply
    2,857.18x = 4,285.73 × 909.36
  4. Step 4: Simplify right side
    2,857.18x = 3,897,245.46
  5. Step 5: Solve for x
    x = 3,897,245.46/2,857.18
  6. Step 6: Final answer
    x = 1,364.02

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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.