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Finding the Fourth Proportional to 2,001.71, 2,762.57 and 1,256.24

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Solution

The fourth proportional to 2,001.71, 2,762.57 and 1,256.24 is: 1,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.71 : 2,762.57 = 1,256.24 : x
  2. Step 2: Convert to fraction form
    2,001.71/2,762.57 = 1,256.24/x
  3. Step 3: Cross multiply
    2,001.71x = 2,762.57 × 1,256.24
  4. Step 4: Simplify right side
    2,001.71x = 3,470,450.94
  5. Step 5: Solve for x
    x = 3,470,450.94/2,001.71
  6. Step 6: Final answer
    x = 1,733.74

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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.