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Finding the Fourth Proportional to 2,651.30, 3,658.61 and 1,472.30

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Solution

The fourth proportional to 2,651.30, 3,658.61 and 1,472.30 is: 2,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.30 : 3,658.61 = 1,472.30 : x
  2. Step 2: Convert to fraction form
    2,651.30/3,658.61 = 1,472.30/x
  3. Step 3: Cross multiply
    2,651.30x = 3,658.61 × 1,472.30
  4. Step 4: Simplify right side
    2,651.30x = 5,386,571.50
  5. Step 5: Solve for x
    x = 5,386,571.50/2,651.30
  6. Step 6: Final answer
    x = 2,031.67

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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.