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Finding the Fourth Proportional to 2,586.60, 3,572.06 and 1,644.17

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Solution

The fourth proportional to 2,586.60, 3,572.06 and 1,644.17 is: 2,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.60 : 3,572.06 = 1,644.17 : x
  2. Step 2: Convert to fraction form
    2,586.60/3,572.06 = 1,644.17/x
  3. Step 3: Cross multiply
    2,586.60x = 3,572.06 × 1,644.17
  4. Step 4: Simplify right side
    2,586.60x = 5,873,047.81
  5. Step 5: Solve for x
    x = 5,873,047.81/2,586.60
  6. Step 6: Final answer
    x = 2,270.57

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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.