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Finding the Fourth Proportional to 3,437.96, 4,744.62 and 1,946.03

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Solution

The fourth proportional to 3,437.96, 4,744.62 and 1,946.03 is: 2,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.96 : 4,744.62 = 1,946.03 : x
  2. Step 2: Convert to fraction form
    3,437.96/4,744.62 = 1,946.03/x
  3. Step 3: Cross multiply
    3,437.96x = 4,744.62 × 1,946.03
  4. Step 4: Simplify right side
    3,437.96x = 9,233,172.86
  5. Step 5: Solve for x
    x = 9,233,172.86/3,437.96
  6. Step 6: Final answer
    x = 2,685.65

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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.