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Finding the Fourth Proportional to 2,990.78, 4,127.84 and 1,980.71

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Solution

The fourth proportional to 2,990.78, 4,127.84 and 1,980.71 is: 2,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.78 : 4,127.84 = 1,980.71 : x
  2. Step 2: Convert to fraction form
    2,990.78/4,127.84 = 1,980.71/x
  3. Step 3: Cross multiply
    2,990.78x = 4,127.84 × 1,980.71
  4. Step 4: Simplify right side
    2,990.78x = 8,176,038.28
  5. Step 5: Solve for x
    x = 8,176,038.28/2,990.78
  6. Step 6: Final answer
    x = 2,733.75

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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.