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Finding the Fourth Proportional to 2,123.69, 3,181.44 and 1,771.04

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Solution

The fourth proportional to 2,123.69, 3,181.44 and 1,771.04 is: 2,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.69 : 3,181.44 = 1,771.04 : x
  2. Step 2: Convert to fraction form
    2,123.69/3,181.44 = 1,771.04/x
  3. Step 3: Cross multiply
    2,123.69x = 3,181.44 × 1,771.04
  4. Step 4: Simplify right side
    2,123.69x = 5,634,457.50
  5. Step 5: Solve for x
    x = 5,634,457.50/2,123.69
  6. Step 6: Final answer
    x = 2,653.14

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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.