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Finding the Fourth Proportional to 1,735.97, 2,607.06 and 1,596.89

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Solution

The fourth proportional to 1,735.97, 2,607.06 and 1,596.89 is: 2,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.97 : 2,607.06 = 1,596.89 : x
  2. Step 2: Convert to fraction form
    1,735.97/2,607.06 = 1,596.89/x
  3. Step 3: Cross multiply
    1,735.97x = 2,607.06 × 1,596.89
  4. Step 4: Simplify right side
    1,735.97x = 4,163,181.53
  5. Step 5: Solve for x
    x = 4,163,181.53/1,735.97
  6. Step 6: Final answer
    x = 2,398.19

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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.