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Finding the Fourth Proportional to 2,907.68, 4,360.74 and 1,263.83

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Solution

The fourth proportional to 2,907.68, 4,360.74 and 1,263.83 is: 1,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.68 : 4,360.74 = 1,263.83 : x
  2. Step 2: Convert to fraction form
    2,907.68/4,360.74 = 1,263.83/x
  3. Step 3: Cross multiply
    2,907.68x = 4,360.74 × 1,263.83
  4. Step 4: Simplify right side
    2,907.68x = 5,511,232.02
  5. Step 5: Solve for x
    x = 5,511,232.02/2,907.68
  6. Step 6: Final answer
    x = 1,895.41

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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.