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Finding the Fourth Proportional to 3,384.94, 4,670.46 and 1,968.16

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Solution

The fourth proportional to 3,384.94, 4,670.46 and 1,968.16 is: 2,715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.94 : 4,670.46 = 1,968.16 : x
  2. Step 2: Convert to fraction form
    3,384.94/4,670.46 = 1,968.16/x
  3. Step 3: Cross multiply
    3,384.94x = 4,670.46 × 1,968.16
  4. Step 4: Simplify right side
    3,384.94x = 9,192,212.55
  5. Step 5: Solve for x
    x = 9,192,212.55/3,384.94
  6. Step 6: Final answer
    x = 2,715.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.