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Finding the Fourth Proportional to 1,735.28, 2,604 and 1,265.93

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Solution

The fourth proportional to 1,735.28, 2,604 and 1,265.93 is: 1,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.28 : 2,604 = 1,265.93 : x
  2. Step 2: Convert to fraction form
    1,735.28/2,604 = 1,265.93/x
  3. Step 3: Cross multiply
    1,735.28x = 2,604 × 1,265.93
  4. Step 4: Simplify right side
    1,735.28x = 3,296,481.72
  5. Step 5: Solve for x
    x = 3,296,481.72/1,735.28
  6. Step 6: Final answer
    x = 1,899.68

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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.