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Finding the Fourth Proportional to 2,497.29, 3,746.34 and 853.67

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Solution

The fourth proportional to 2,497.29, 3,746.34 and 853.67 is: 1,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.29 : 3,746.34 = 853.67 : x
  2. Step 2: Convert to fraction form
    2,497.29/3,746.34 = 853.67/x
  3. Step 3: Cross multiply
    2,497.29x = 3,746.34 × 853.67
  4. Step 4: Simplify right side
    2,497.29x = 3,198,138.07
  5. Step 5: Solve for x
    x = 3,198,138.07/2,497.29
  6. Step 6: Final answer
    x = 1,280.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.