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Finding the Fourth Proportional to 2,855.84, 4,280.78 and 1,392.98

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Solution

The fourth proportional to 2,855.84, 4,280.78 and 1,392.98 is: 2,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.84 : 4,280.78 = 1,392.98 : x
  2. Step 2: Convert to fraction form
    2,855.84/4,280.78 = 1,392.98/x
  3. Step 3: Cross multiply
    2,855.84x = 4,280.78 × 1,392.98
  4. Step 4: Simplify right side
    2,855.84x = 5,963,040.92
  5. Step 5: Solve for x
    x = 5,963,040.92/2,855.84
  6. Step 6: Final answer
    x = 2,088.02

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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.