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Finding the Fourth Proportional to 2,792.75, 4,184.87 and 1,864.89

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Solution

The fourth proportional to 2,792.75, 4,184.87 and 1,864.89 is: 2,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.75 : 4,184.87 = 1,864.89 : x
  2. Step 2: Convert to fraction form
    2,792.75/4,184.87 = 1,864.89/x
  3. Step 3: Cross multiply
    2,792.75x = 4,184.87 × 1,864.89
  4. Step 4: Simplify right side
    2,792.75x = 7,804,312.89
  5. Step 5: Solve for x
    x = 7,804,312.89/2,792.75
  6. Step 6: Final answer
    x = 2,794.50

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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.