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Finding the Fourth Proportional to 2,990.36, 4,127.84 and 1,942.52

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Solution

The fourth proportional to 2,990.36, 4,127.84 and 1,942.52 is: 2,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.36 : 4,127.84 = 1,942.52 : x
  2. Step 2: Convert to fraction form
    2,990.36/4,127.84 = 1,942.52/x
  3. Step 3: Cross multiply
    2,990.36x = 4,127.84 × 1,942.52
  4. Step 4: Simplify right side
    2,990.36x = 8,018,411.76
  5. Step 5: Solve for x
    x = 8,018,411.76/2,990.36
  6. Step 6: Final answer
    x = 2,681.42

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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.