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Finding the Fourth Proportional to 2,927.94, 4,392.30 and 979.74

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Solution

The fourth proportional to 2,927.94, 4,392.30 and 979.74 is: 1,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.94 : 4,392.30 = 979.74 : x
  2. Step 2: Convert to fraction form
    2,927.94/4,392.30 = 979.74/x
  3. Step 3: Cross multiply
    2,927.94x = 4,392.30 × 979.74
  4. Step 4: Simplify right side
    2,927.94x = 4,303,312.00
  5. Step 5: Solve for x
    x = 4,303,312.00/2,927.94
  6. Step 6: Final answer
    x = 1,469.74

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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.