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Finding the Fourth Proportional to 3,071.24, 4,239.84 and 1,893

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Solution

The fourth proportional to 3,071.24, 4,239.84 and 1,893 is: 2,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.24 : 4,239.84 = 1,893 : x
  2. Step 2: Convert to fraction form
    3,071.24/4,239.84 = 1,893/x
  3. Step 3: Cross multiply
    3,071.24x = 4,239.84 × 1,893
  4. Step 4: Simplify right side
    3,071.24x = 8,026,017.12
  5. Step 5: Solve for x
    x = 8,026,017.12/3,071.24
  6. Step 6: Final answer
    x = 2,613.28

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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.