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Finding the Fourth Proportional to 3,075.12, 4,611.60 and 883.20

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Solution

The fourth proportional to 3,075.12, 4,611.60 and 883.20 is: 1,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.12 : 4,611.60 = 883.20 : x
  2. Step 2: Convert to fraction form
    3,075.12/4,611.60 = 883.20/x
  3. Step 3: Cross multiply
    3,075.12x = 4,611.60 × 883.20
  4. Step 4: Simplify right side
    3,075.12x = 4,072,965.12
  5. Step 5: Solve for x
    x = 4,072,965.12/3,075.12
  6. Step 6: Final answer
    x = 1,324.49

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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.