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Finding the Fourth Proportional to 3,160.72, 4,738.23 and 1,598.54

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Solution

The fourth proportional to 3,160.72, 4,738.23 and 1,598.54 is: 2,396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.72 : 4,738.23 = 1,598.54 : x
  2. Step 2: Convert to fraction form
    3,160.72/4,738.23 = 1,598.54/x
  3. Step 3: Cross multiply
    3,160.72x = 4,738.23 × 1,598.54
  4. Step 4: Simplify right side
    3,160.72x = 7,574,226.49
  5. Step 5: Solve for x
    x = 7,574,226.49/3,160.72
  6. Step 6: Final answer
    x = 2,396.36

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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.