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Finding the Fourth Proportional to 2,586.96, 3,570.06 and 1,452.60

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Solution

The fourth proportional to 2,586.96, 3,570.06 and 1,452.60 is: 2,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.96 : 3,570.06 = 1,452.60 : x
  2. Step 2: Convert to fraction form
    2,586.96/3,570.06 = 1,452.60/x
  3. Step 3: Cross multiply
    2,586.96x = 3,570.06 × 1,452.60
  4. Step 4: Simplify right side
    2,586.96x = 5,185,869.16
  5. Step 5: Solve for x
    x = 5,185,869.16/2,586.96
  6. Step 6: Final answer
    x = 2,004.62

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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.