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Finding the Fourth Proportional to 2,558.59, 3,837.89 and 1,020.67

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Solution

The fourth proportional to 2,558.59, 3,837.89 and 1,020.67 is: 1,531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.59 : 3,837.89 = 1,020.67 : x
  2. Step 2: Convert to fraction form
    2,558.59/3,837.89 = 1,020.67/x
  3. Step 3: Cross multiply
    2,558.59x = 3,837.89 × 1,020.67
  4. Step 4: Simplify right side
    2,558.59x = 3,917,219.19
  5. Step 5: Solve for x
    x = 3,917,219.19/2,558.59
  6. Step 6: Final answer
    x = 1,531.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.