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Finding the Fourth Proportional to 3,612.14, 4,984.74 and 1,956.14

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Solution

The fourth proportional to 3,612.14, 4,984.74 and 1,956.14 is: 2,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.14 : 4,984.74 = 1,956.14 : x
  2. Step 2: Convert to fraction form
    3,612.14/4,984.74 = 1,956.14/x
  3. Step 3: Cross multiply
    3,612.14x = 4,984.74 × 1,956.14
  4. Step 4: Simplify right side
    3,612.14x = 9,750,839.52
  5. Step 5: Solve for x
    x = 9,750,839.52/3,612.14
  6. Step 6: Final answer
    x = 2,699.46

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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.