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Finding the Fourth Proportional to 2,385.44, 3,577.44 and 653.84

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Solution

The fourth proportional to 2,385.44, 3,577.44 and 653.84 is: 980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.44 : 3,577.44 = 653.84 : x
  2. Step 2: Convert to fraction form
    2,385.44/3,577.44 = 653.84/x
  3. Step 3: Cross multiply
    2,385.44x = 3,577.44 × 653.84
  4. Step 4: Simplify right side
    2,385.44x = 2,339,073.37
  5. Step 5: Solve for x
    x = 2,339,073.37/2,385.44
  6. Step 6: Final answer
    x = 980.56

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