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Finding the Fourth Proportional to 1,684.92, 2,527.84 and 589.38

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Solution

The fourth proportional to 1,684.92, 2,527.84 and 589.38 is: 884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.92 : 2,527.84 = 589.38 : x
  2. Step 2: Convert to fraction form
    1,684.92/2,527.84 = 589.38/x
  3. Step 3: Cross multiply
    1,684.92x = 2,527.84 × 589.38
  4. Step 4: Simplify right side
    1,684.92x = 1,489,849.60
  5. Step 5: Solve for x
    x = 1,489,849.60/1,684.92
  6. Step 6: Final answer
    x = 884.23

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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.