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Finding the Fourth Proportional to 3,061.92, 4,596.48 and 1,601.76

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Solution

The fourth proportional to 3,061.92, 4,596.48 and 1,601.76 is: 2,404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.92 : 4,596.48 = 1,601.76 : x
  2. Step 2: Convert to fraction form
    3,061.92/4,596.48 = 1,601.76/x
  3. Step 3: Cross multiply
    3,061.92x = 4,596.48 × 1,601.76
  4. Step 4: Simplify right side
    3,061.92x = 7,362,457.80
  5. Step 5: Solve for x
    x = 7,362,457.80/3,061.92
  6. Step 6: Final answer
    x = 2,404.52

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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.