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Finding the Fourth Proportional to 2,842.57, 4,266.52 and 1,749.07

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Solution

The fourth proportional to 2,842.57, 4,266.52 and 1,749.07 is: 2,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.57 : 4,266.52 = 1,749.07 : x
  2. Step 2: Convert to fraction form
    2,842.57/4,266.52 = 1,749.07/x
  3. Step 3: Cross multiply
    2,842.57x = 4,266.52 × 1,749.07
  4. Step 4: Simplify right side
    2,842.57x = 7,462,427.10
  5. Step 5: Solve for x
    x = 7,462,427.10/2,842.57
  6. Step 6: Final answer
    x = 2,625.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.