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Finding the Fourth Proportional to 1,644.68, 2,267.58 and 1,054.22

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Solution

The fourth proportional to 1,644.68, 2,267.58 and 1,054.22 is: 1,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.68 : 2,267.58 = 1,054.22 : x
  2. Step 2: Convert to fraction form
    1,644.68/2,267.58 = 1,054.22/x
  3. Step 3: Cross multiply
    1,644.68x = 2,267.58 × 1,054.22
  4. Step 4: Simplify right side
    1,644.68x = 2,390,528.19
  5. Step 5: Solve for x
    x = 2,390,528.19/1,644.68
  6. Step 6: Final answer
    x = 1,453.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.