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Finding the Fourth Proportional to 2,784.70, 4,177.36 and 935.94

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Solution

The fourth proportional to 2,784.70, 4,177.36 and 935.94 is: 1,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.70 : 4,177.36 = 935.94 : x
  2. Step 2: Convert to fraction form
    2,784.70/4,177.36 = 935.94/x
  3. Step 3: Cross multiply
    2,784.70x = 4,177.36 × 935.94
  4. Step 4: Simplify right side
    2,784.70x = 3,909,758.32
  5. Step 5: Solve for x
    x = 3,909,758.32/2,784.70
  6. Step 6: Final answer
    x = 1,404.01

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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.