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Finding the Fourth Proportional to 1,949.59, 2,924.39 and 651.05

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Solution

The fourth proportional to 1,949.59, 2,924.39 and 651.05 is: 976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.59 : 2,924.39 = 651.05 : x
  2. Step 2: Convert to fraction form
    1,949.59/2,924.39 = 651.05/x
  3. Step 3: Cross multiply
    1,949.59x = 2,924.39 × 651.05
  4. Step 4: Simplify right side
    1,949.59x = 1,903,933.05
  5. Step 5: Solve for x
    x = 1,903,933.05/1,949.59
  6. Step 6: Final answer
    x = 976.58

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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.