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Finding the Fourth Proportional to 2,461.90, 3,696.58 and 2,119

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Solution

The fourth proportional to 2,461.90, 3,696.58 and 2,119 is: 3,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.90 : 3,696.58 = 2,119 : x
  2. Step 2: Convert to fraction form
    2,461.90/3,696.58 = 2,119/x
  3. Step 3: Cross multiply
    2,461.90x = 3,696.58 × 2,119
  4. Step 4: Simplify right side
    2,461.90x = 7,833,053.02
  5. Step 5: Solve for x
    x = 7,833,053.02/2,461.90
  6. Step 6: Final answer
    x = 3,181.71

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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.