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Finding the Fourth Proportional to 2,070.50, 3,104.84 and 1,096.38

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Solution

The fourth proportional to 2,070.50, 3,104.84 and 1,096.38 is: 1,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.50 : 3,104.84 = 1,096.38 : x
  2. Step 2: Convert to fraction form
    2,070.50/3,104.84 = 1,096.38/x
  3. Step 3: Cross multiply
    2,070.50x = 3,104.84 × 1,096.38
  4. Step 4: Simplify right side
    2,070.50x = 3,404,075.58
  5. Step 5: Solve for x
    x = 3,404,075.58/2,070.50
  6. Step 6: Final answer
    x = 1,644.08

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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.