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Finding the Fourth Proportional to 1,617.87, 2,425.35 and 644.64

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Solution

The fourth proportional to 1,617.87, 2,425.35 and 644.64 is: 966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.87 : 2,425.35 = 644.64 : x
  2. Step 2: Convert to fraction form
    1,617.87/2,425.35 = 644.64/x
  3. Step 3: Cross multiply
    1,617.87x = 2,425.35 × 644.64
  4. Step 4: Simplify right side
    1,617.87x = 1,563,477.62
  5. Step 5: Solve for x
    x = 1,563,477.62/1,617.87
  6. Step 6: Final answer
    x = 966.38

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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.