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Finding the Fourth Proportional to 2,790, 4,185.60 and 941.16

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Solution

The fourth proportional to 2,790, 4,185.60 and 941.16 is: 1,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790 : 4,185.60 = 941.16 : x
  2. Step 2: Convert to fraction form
    2,790/4,185.60 = 941.16/x
  3. Step 3: Cross multiply
    2,790x = 4,185.60 × 941.16
  4. Step 4: Simplify right side
    2,790x = 3,939,319.30
  5. Step 5: Solve for x
    x = 3,939,319.30/2,790
  6. Step 6: Final answer
    x = 1,411.94

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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.