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Finding the Fourth Proportional to 1,735.44, 2,604 and 1,730.16

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Solution

The fourth proportional to 1,735.44, 2,604 and 1,730.16 is: 2,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.44 : 2,604 = 1,730.16 : x
  2. Step 2: Convert to fraction form
    1,735.44/2,604 = 1,730.16/x
  3. Step 3: Cross multiply
    1,735.44x = 2,604 × 1,730.16
  4. Step 4: Simplify right side
    1,735.44x = 4,505,336.64
  5. Step 5: Solve for x
    x = 4,505,336.64/1,735.44
  6. Step 6: Final answer
    x = 2,596.08

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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.