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Finding the Fourth Proportional to 1,743.54, 2,614.88 and 589.28

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Solution

The fourth proportional to 1,743.54, 2,614.88 and 589.28 is: 883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.54 : 2,614.88 = 589.28 : x
  2. Step 2: Convert to fraction form
    1,743.54/2,614.88 = 589.28/x
  3. Step 3: Cross multiply
    1,743.54x = 2,614.88 × 589.28
  4. Step 4: Simplify right side
    1,743.54x = 1,540,896.49
  5. Step 5: Solve for x
    x = 1,540,896.49/1,743.54
  6. Step 6: Final answer
    x = 883.77

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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.