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Finding the Fourth Proportional to 2,071.88, 3,122.02 and 1,714.68

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Solution

The fourth proportional to 2,071.88, 3,122.02 and 1,714.68 is: 2,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.88 : 3,122.02 = 1,714.68 : x
  2. Step 2: Convert to fraction form
    2,071.88/3,122.02 = 1,714.68/x
  3. Step 3: Cross multiply
    2,071.88x = 3,122.02 × 1,714.68
  4. Step 4: Simplify right side
    2,071.88x = 5,353,265.25
  5. Step 5: Solve for x
    x = 5,353,265.25/2,071.88
  6. Step 6: Final answer
    x = 2,583.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.