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Finding the Fourth Proportional to 2,558.96, 3,530.37 and 1,439.65

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Solution

The fourth proportional to 2,558.96, 3,530.37 and 1,439.65 is: 1,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.96 : 3,530.37 = 1,439.65 : x
  2. Step 2: Convert to fraction form
    2,558.96/3,530.37 = 1,439.65/x
  3. Step 3: Cross multiply
    2,558.96x = 3,530.37 × 1,439.65
  4. Step 4: Simplify right side
    2,558.96x = 5,082,472.32
  5. Step 5: Solve for x
    x = 5,082,472.32/2,558.96
  6. Step 6: Final answer
    x = 1,986.15

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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.