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Finding the Fourth Proportional to 1,444.77, 2,165.67 and 1,097.15

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Solution

The fourth proportional to 1,444.77, 2,165.67 and 1,097.15 is: 1,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.77 : 2,165.67 = 1,097.15 : x
  2. Step 2: Convert to fraction form
    1,444.77/2,165.67 = 1,097.15/x
  3. Step 3: Cross multiply
    1,444.77x = 2,165.67 × 1,097.15
  4. Step 4: Simplify right side
    1,444.77x = 2,376,054.01
  5. Step 5: Solve for x
    x = 2,376,054.01/1,444.77
  6. Step 6: Final answer
    x = 1,644.59

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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.