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Finding the Fourth Proportional to 1,829.46, 2,744.76 and 596.88

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Solution

The fourth proportional to 1,829.46, 2,744.76 and 596.88 is: 895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.46 : 2,744.76 = 596.88 : x
  2. Step 2: Convert to fraction form
    1,829.46/2,744.76 = 596.88/x
  3. Step 3: Cross multiply
    1,829.46x = 2,744.76 × 596.88
  4. Step 4: Simplify right side
    1,829.46x = 1,638,292.35
  5. Step 5: Solve for x
    x = 1,638,292.35/1,829.46
  6. Step 6: Final answer
    x = 895.51

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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.