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Finding the Fourth Proportional to 2,578.66, 3,558.72 and 1,459.59

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Solution

The fourth proportional to 2,578.66, 3,558.72 and 1,459.59 is: 2,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.66 : 3,558.72 = 1,459.59 : x
  2. Step 2: Convert to fraction form
    2,578.66/3,558.72 = 1,459.59/x
  3. Step 3: Cross multiply
    2,578.66x = 3,558.72 × 1,459.59
  4. Step 4: Simplify right side
    2,578.66x = 5,194,272.12
  5. Step 5: Solve for x
    x = 5,194,272.12/2,578.66
  6. Step 6: Final answer
    x = 2,014.33

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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.