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Finding the Fourth Proportional to 1,744.68, 2,615.22 and 589.56

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Solution

The fourth proportional to 1,744.68, 2,615.22 and 589.56 is: 883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.68 : 2,615.22 = 589.56 : x
  2. Step 2: Convert to fraction form
    1,744.68/2,615.22 = 589.56/x
  3. Step 3: Cross multiply
    1,744.68x = 2,615.22 × 589.56
  4. Step 4: Simplify right side
    1,744.68x = 1,541,829.10
  5. Step 5: Solve for x
    x = 1,541,829.10/1,744.68
  6. Step 6: Final answer
    x = 883.73

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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.