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Finding the Fourth Proportional to 2,643.49, 3,958.53 and 1,588.67

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Solution

The fourth proportional to 2,643.49, 3,958.53 and 1,588.67 is: 2,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.49 : 3,958.53 = 1,588.67 : x
  2. Step 2: Convert to fraction form
    2,643.49/3,958.53 = 1,588.67/x
  3. Step 3: Cross multiply
    2,643.49x = 3,958.53 × 1,588.67
  4. Step 4: Simplify right side
    2,643.49x = 6,288,797.86
  5. Step 5: Solve for x
    x = 6,288,797.86/2,643.49
  6. Step 6: Final answer
    x = 2,378.98

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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.