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Finding the Fourth Proportional to 1,735.62, 2,601.09 and 870.54

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Solution

The fourth proportional to 1,735.62, 2,601.09 and 870.54 is: 1,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.62 : 2,601.09 = 870.54 : x
  2. Step 2: Convert to fraction form
    1,735.62/2,601.09 = 870.54/x
  3. Step 3: Cross multiply
    1,735.62x = 2,601.09 × 870.54
  4. Step 4: Simplify right side
    1,735.62x = 2,264,352.89
  5. Step 5: Solve for x
    x = 2,264,352.89/1,735.62
  6. Step 6: Final answer
    x = 1,304.64

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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.