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Finding the Fourth Proportional to 2,071.83, 2,857.91 and 1,325.51

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Solution

The fourth proportional to 2,071.83, 2,857.91 and 1,325.51 is: 1,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.83 : 2,857.91 = 1,325.51 : x
  2. Step 2: Convert to fraction form
    2,071.83/2,857.91 = 1,325.51/x
  3. Step 3: Cross multiply
    2,071.83x = 2,857.91 × 1,325.51
  4. Step 4: Simplify right side
    2,071.83x = 3,788,181.66
  5. Step 5: Solve for x
    x = 3,788,181.66/2,071.83
  6. Step 6: Final answer
    x = 1,828.43

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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.