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Finding the Fourth Proportional to 2,855.72, 4,284.32 and 907.94

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Solution

The fourth proportional to 2,855.72, 4,284.32 and 907.94 is: 1,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.72 : 4,284.32 = 907.94 : x
  2. Step 2: Convert to fraction form
    2,855.72/4,284.32 = 907.94/x
  3. Step 3: Cross multiply
    2,855.72x = 4,284.32 × 907.94
  4. Step 4: Simplify right side
    2,855.72x = 3,889,905.50
  5. Step 5: Solve for x
    x = 3,889,905.50/2,855.72
  6. Step 6: Final answer
    x = 1,362.15

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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.