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Finding the Fourth Proportional to 3,265.48, 4,897.68 and 1,704.52

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Solution

The fourth proportional to 3,265.48, 4,897.68 and 1,704.52 is: 2,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.48 : 4,897.68 = 1,704.52 : x
  2. Step 2: Convert to fraction form
    3,265.48/4,897.68 = 1,704.52/x
  3. Step 3: Cross multiply
    3,265.48x = 4,897.68 × 1,704.52
  4. Step 4: Simplify right side
    3,265.48x = 8,348,193.51
  5. Step 5: Solve for x
    x = 8,348,193.51/3,265.48
  6. Step 6: Final answer
    x = 2,556.50

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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.