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Finding the Fourth Proportional to 2,468.04, 3,702.40 and 824.28

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Solution

The fourth proportional to 2,468.04, 3,702.40 and 824.28 is: 1,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.04 : 3,702.40 = 824.28 : x
  2. Step 2: Convert to fraction form
    2,468.04/3,702.40 = 824.28/x
  3. Step 3: Cross multiply
    2,468.04x = 3,702.40 × 824.28
  4. Step 4: Simplify right side
    2,468.04x = 3,051,814.27
  5. Step 5: Solve for x
    x = 3,051,814.27/2,468.04
  6. Step 6: Final answer
    x = 1,236.53

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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.