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Finding the Fourth Proportional to 2,385.98, 3,577.26 and 905

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Solution

The fourth proportional to 2,385.98, 3,577.26 and 905 is: 1,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.98 : 3,577.26 = 905 : x
  2. Step 2: Convert to fraction form
    2,385.98/3,577.26 = 905/x
  3. Step 3: Cross multiply
    2,385.98x = 3,577.26 × 905
  4. Step 4: Simplify right side
    2,385.98x = 3,237,420.30
  5. Step 5: Solve for x
    x = 3,237,420.30/2,385.98
  6. Step 6: Final answer
    x = 1,356.85

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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.