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Finding the Fourth Proportional to 1,734.69, 2,601.84 and 436.16

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Solution

The fourth proportional to 1,734.69, 2,601.84 and 436.16 is: 654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.69 : 2,601.84 = 436.16 : x
  2. Step 2: Convert to fraction form
    1,734.69/2,601.84 = 436.16/x
  3. Step 3: Cross multiply
    1,734.69x = 2,601.84 × 436.16
  4. Step 4: Simplify right side
    1,734.69x = 1,134,805.53
  5. Step 5: Solve for x
    x = 1,134,805.53/1,734.69
  6. Step 6: Final answer
    x = 654.18

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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.