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Finding the Fourth Proportional to 2,524.48, 3,484.32 and 1,696

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Solution

The fourth proportional to 2,524.48, 3,484.32 and 1,696 is: 2,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.48 : 3,484.32 = 1,696 : x
  2. Step 2: Convert to fraction form
    2,524.48/3,484.32 = 1,696/x
  3. Step 3: Cross multiply
    2,524.48x = 3,484.32 × 1,696
  4. Step 4: Simplify right side
    2,524.48x = 5,909,406.72
  5. Step 5: Solve for x
    x = 5,909,406.72/2,524.48
  6. Step 6: Final answer
    x = 2,340.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.