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Finding the Fourth Proportional to 2,842.93, 4,266.24 and 1,509.94

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Solution

The fourth proportional to 2,842.93, 4,266.24 and 1,509.94 is: 2,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.93 : 4,266.24 = 1,509.94 : x
  2. Step 2: Convert to fraction form
    2,842.93/4,266.24 = 1,509.94/x
  3. Step 3: Cross multiply
    2,842.93x = 4,266.24 × 1,509.94
  4. Step 4: Simplify right side
    2,842.93x = 6,441,766.10
  5. Step 5: Solve for x
    x = 6,441,766.10/2,842.93
  6. Step 6: Final answer
    x = 2,265.89

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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.