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Finding the Fourth Proportional to 1,743.11, 2,614.67 and 589.67

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Solution

The fourth proportional to 1,743.11, 2,614.67 and 589.67 is: 884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.11 : 2,614.67 = 589.67 : x
  2. Step 2: Convert to fraction form
    1,743.11/2,614.67 = 589.67/x
  3. Step 3: Cross multiply
    1,743.11x = 2,614.67 × 589.67
  4. Step 4: Simplify right side
    1,743.11x = 1,541,776.44
  5. Step 5: Solve for x
    x = 1,541,776.44/1,743.11
  6. Step 6: Final answer
    x = 884.50

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Similar ratio
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1.5x scale

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.