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Finding the Fourth Proportional to 2,594.98, 3,580.44 and 1,586.43

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Solution

The fourth proportional to 2,594.98, 3,580.44 and 1,586.43 is: 2,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.98 : 3,580.44 = 1,586.43 : x
  2. Step 2: Convert to fraction form
    2,594.98/3,580.44 = 1,586.43/x
  3. Step 3: Cross multiply
    2,594.98x = 3,580.44 × 1,586.43
  4. Step 4: Simplify right side
    2,594.98x = 5,680,111.48
  5. Step 5: Solve for x
    x = 5,680,111.48/2,594.98
  6. Step 6: Final answer
    x = 2,188.88

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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.