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Finding the Fourth Proportional to 2,468.48, 3,702.74 and 824.81

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Solution

The fourth proportional to 2,468.48, 3,702.74 and 824.81 is: 1,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.48 : 3,702.74 = 824.81 : x
  2. Step 2: Convert to fraction form
    2,468.48/3,702.74 = 824.81/x
  3. Step 3: Cross multiply
    2,468.48x = 3,702.74 × 824.81
  4. Step 4: Simplify right side
    2,468.48x = 3,054,034.34
  5. Step 5: Solve for x
    x = 3,054,034.34/2,468.48
  6. Step 6: Final answer
    x = 1,237.22

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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.