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Finding the Fourth Proportional to 1,684.70, 2,527.49 and 589.13

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Solution

The fourth proportional to 1,684.70, 2,527.49 and 589.13 is: 883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.70 : 2,527.49 = 589.13 : x
  2. Step 2: Convert to fraction form
    1,684.70/2,527.49 = 589.13/x
  3. Step 3: Cross multiply
    1,684.70x = 2,527.49 × 589.13
  4. Step 4: Simplify right side
    1,684.70x = 1,489,020.18
  5. Step 5: Solve for x
    x = 1,489,020.18/1,684.70
  6. Step 6: Final answer
    x = 883.85

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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.