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Finding the Fourth Proportional to 1,669.56, 2,502.78 and 573.18

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Solution

The fourth proportional to 1,669.56, 2,502.78 and 573.18 is: 859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.56 : 2,502.78 = 573.18 : x
  2. Step 2: Convert to fraction form
    1,669.56/2,502.78 = 573.18/x
  3. Step 3: Cross multiply
    1,669.56x = 2,502.78 × 573.18
  4. Step 4: Simplify right side
    1,669.56x = 1,434,543.44
  5. Step 5: Solve for x
    x = 1,434,543.44/1,669.56
  6. Step 6: Final answer
    x = 859.23

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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.