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Finding the Fourth Proportional to 2,156.73, 3,235.77 and 907.98

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Solution

The fourth proportional to 2,156.73, 3,235.77 and 907.98 is: 1,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.73 : 3,235.77 = 907.98 : x
  2. Step 2: Convert to fraction form
    2,156.73/3,235.77 = 907.98/x
  3. Step 3: Cross multiply
    2,156.73x = 3,235.77 × 907.98
  4. Step 4: Simplify right side
    2,156.73x = 2,938,014.44
  5. Step 5: Solve for x
    x = 2,938,014.44/2,156.73
  6. Step 6: Final answer
    x = 1,362.25

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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.