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Finding the Fourth Proportional to 2,907.84, 4,363.80 and 1,263.54

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Solution

The fourth proportional to 2,907.84, 4,363.80 and 1,263.54 is: 1,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.84 : 4,363.80 = 1,263.54 : x
  2. Step 2: Convert to fraction form
    2,907.84/4,363.80 = 1,263.54/x
  3. Step 3: Cross multiply
    2,907.84x = 4,363.80 × 1,263.54
  4. Step 4: Simplify right side
    2,907.84x = 5,513,835.85
  5. Step 5: Solve for x
    x = 5,513,835.85/2,907.84
  6. Step 6: Final answer
    x = 1,896.20

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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.