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Finding the Fourth Proportional to 2,961.95, 4,442.57 and 881.94

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Solution

The fourth proportional to 2,961.95, 4,442.57 and 881.94 is: 1,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.95 : 4,442.57 = 881.94 : x
  2. Step 2: Convert to fraction form
    2,961.95/4,442.57 = 881.94/x
  3. Step 3: Cross multiply
    2,961.95x = 4,442.57 × 881.94
  4. Step 4: Simplify right side
    2,961.95x = 3,918,075.78
  5. Step 5: Solve for x
    x = 3,918,075.78/2,961.95
  6. Step 6: Final answer
    x = 1,322.81

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1.5x scale

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.