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Finding the Fourth Proportional to 2,705.15, 3,733.16 and 1,586.90

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Solution

The fourth proportional to 2,705.15, 3,733.16 and 1,586.90 is: 2,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.15 : 3,733.16 = 1,586.90 : x
  2. Step 2: Convert to fraction form
    2,705.15/3,733.16 = 1,586.90/x
  3. Step 3: Cross multiply
    2,705.15x = 3,733.16 × 1,586.90
  4. Step 4: Simplify right side
    2,705.15x = 5,924,125.00
  5. Step 5: Solve for x
    x = 5,924,125.00/2,705.15
  6. Step 6: Final answer
    x = 2,189.95

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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.