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Finding the Fourth Proportional to 1,940.52, 2,908.68 and 954.02

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Solution

The fourth proportional to 1,940.52, 2,908.68 and 954.02 is: 1,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.52 : 2,908.68 = 954.02 : x
  2. Step 2: Convert to fraction form
    1,940.52/2,908.68 = 954.02/x
  3. Step 3: Cross multiply
    1,940.52x = 2,908.68 × 954.02
  4. Step 4: Simplify right side
    1,940.52x = 2,774,924.35
  5. Step 5: Solve for x
    x = 2,774,924.35/1,940.52
  6. Step 6: Final answer
    x = 1,429.99

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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.