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Finding the Fourth Proportional to 2,784.32, 4,177.38 and 936.28

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Solution

The fourth proportional to 2,784.32, 4,177.38 and 936.28 is: 1,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.32 : 4,177.38 = 936.28 : x
  2. Step 2: Convert to fraction form
    2,784.32/4,177.38 = 936.28/x
  3. Step 3: Cross multiply
    2,784.32x = 4,177.38 × 936.28
  4. Step 4: Simplify right side
    2,784.32x = 3,911,197.35
  5. Step 5: Solve for x
    x = 3,911,197.35/2,784.32
  6. Step 6: Final answer
    x = 1,404.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.