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Finding the Fourth Proportional to 1,792.63, 2,466.58 and 1,749.43

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Solution

The fourth proportional to 1,792.63, 2,466.58 and 1,749.43 is: 2,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.63 : 2,466.58 = 1,749.43 : x
  2. Step 2: Convert to fraction form
    1,792.63/2,466.58 = 1,749.43/x
  3. Step 3: Cross multiply
    1,792.63x = 2,466.58 × 1,749.43
  4. Step 4: Simplify right side
    1,792.63x = 4,315,109.05
  5. Step 5: Solve for x
    x = 4,315,109.05/1,792.63
  6. Step 6: Final answer
    x = 2,407.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.