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Finding the Fourth Proportional to 2,369.17, 3,553.73 and 1,070.64

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Solution

The fourth proportional to 2,369.17, 3,553.73 and 1,070.64 is: 1,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.17 : 3,553.73 = 1,070.64 : x
  2. Step 2: Convert to fraction form
    2,369.17/3,553.73 = 1,070.64/x
  3. Step 3: Cross multiply
    2,369.17x = 3,553.73 × 1,070.64
  4. Step 4: Simplify right side
    2,369.17x = 3,804,764.15
  5. Step 5: Solve for x
    x = 3,804,764.15/2,369.17
  6. Step 6: Final answer
    x = 1,605.95

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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.