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Finding the Fourth Proportional to 2,950.58, 4,429.11 and 1,653.14

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Solution

The fourth proportional to 2,950.58, 4,429.11 and 1,653.14 is: 2,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.58 : 4,429.11 = 1,653.14 : x
  2. Step 2: Convert to fraction form
    2,950.58/4,429.11 = 1,653.14/x
  3. Step 3: Cross multiply
    2,950.58x = 4,429.11 × 1,653.14
  4. Step 4: Simplify right side
    2,950.58x = 7,321,938.91
  5. Step 5: Solve for x
    x = 7,321,938.91/2,950.58
  6. Step 6: Final answer
    x = 2,481.53

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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.