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Finding the Fourth Proportional to 2,907.95, 4,363.50 and 1,264.49

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Solution

The fourth proportional to 2,907.95, 4,363.50 and 1,264.49 is: 1,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.95 : 4,363.50 = 1,264.49 : x
  2. Step 2: Convert to fraction form
    2,907.95/4,363.50 = 1,264.49/x
  3. Step 3: Cross multiply
    2,907.95x = 4,363.50 × 1,264.49
  4. Step 4: Simplify right side
    2,907.95x = 5,517,580.30
  5. Step 5: Solve for x
    x = 5,517,580.30/2,907.95
  6. Step 6: Final answer
    x = 1,897.42

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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.