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Finding the Fourth Proportional to 1,744.57, 2,615.22 and 589.51

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Solution

The fourth proportional to 1,744.57, 2,615.22 and 589.51 is: 883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.57 : 2,615.22 = 589.51 : x
  2. Step 2: Convert to fraction form
    1,744.57/2,615.22 = 589.51/x
  3. Step 3: Cross multiply
    1,744.57x = 2,615.22 × 589.51
  4. Step 4: Simplify right side
    1,744.57x = 1,541,695.39
  5. Step 5: Solve for x
    x = 1,541,695.39/1,744.57
  6. Step 6: Final answer
    x = 883.71

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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.