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Finding the Fourth Proportional to 2,558.61, 3,530.84 and 1,439.64

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Solution

The fourth proportional to 2,558.61, 3,530.84 and 1,439.64 is: 1,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.61 : 3,530.84 = 1,439.64 : x
  2. Step 2: Convert to fraction form
    2,558.61/3,530.84 = 1,439.64/x
  3. Step 3: Cross multiply
    2,558.61x = 3,530.84 × 1,439.64
  4. Step 4: Simplify right side
    2,558.61x = 5,083,131.30
  5. Step 5: Solve for x
    x = 5,083,131.30/2,558.61
  6. Step 6: Final answer
    x = 1,986.68

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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.