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Finding the Fourth Proportional to 2,223.75, 3,069.80 and 1,586.18

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Solution

The fourth proportional to 2,223.75, 3,069.80 and 1,586.18 is: 2,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.75 : 3,069.80 = 1,586.18 : x
  2. Step 2: Convert to fraction form
    2,223.75/3,069.80 = 1,586.18/x
  3. Step 3: Cross multiply
    2,223.75x = 3,069.80 × 1,586.18
  4. Step 4: Simplify right side
    2,223.75x = 4,869,261.06
  5. Step 5: Solve for x
    x = 4,869,261.06/2,223.75
  6. Step 6: Final answer
    x = 2,189.66

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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.