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Finding the Fourth Proportional to 1,369.89, 2,054.85 and 1,095.63

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Solution

The fourth proportional to 1,369.89, 2,054.85 and 1,095.63 is: 1,643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.89 : 2,054.85 = 1,095.63 : x
  2. Step 2: Convert to fraction form
    1,369.89/2,054.85 = 1,095.63/x
  3. Step 3: Cross multiply
    1,369.89x = 2,054.85 × 1,095.63
  4. Step 4: Simplify right side
    1,369.89x = 2,251,355.31
  5. Step 5: Solve for x
    x = 2,251,355.31/1,369.89
  6. Step 6: Final answer
    x = 1,643.46

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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.