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Finding the Fourth Proportional to 2,440.62, 3,658.70 and 1,053.09

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Solution

The fourth proportional to 2,440.62, 3,658.70 and 1,053.09 is: 1,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.62 : 3,658.70 = 1,053.09 : x
  2. Step 2: Convert to fraction form
    2,440.62/3,658.70 = 1,053.09/x
  3. Step 3: Cross multiply
    2,440.62x = 3,658.70 × 1,053.09
  4. Step 4: Simplify right side
    2,440.62x = 3,852,943.02
  5. Step 5: Solve for x
    x = 3,852,943.02/2,440.62
  6. Step 6: Final answer
    x = 1,578.67

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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.