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Finding the Fourth Proportional to 1,979.84, 2,953.69 and 1,783

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Solution

The fourth proportional to 1,979.84, 2,953.69 and 1,783 is: 2,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.84 : 2,953.69 = 1,783 : x
  2. Step 2: Convert to fraction form
    1,979.84/2,953.69 = 1,783/x
  3. Step 3: Cross multiply
    1,979.84x = 2,953.69 × 1,783
  4. Step 4: Simplify right side
    1,979.84x = 5,266,429.27
  5. Step 5: Solve for x
    x = 5,266,429.27/1,979.84
  6. Step 6: Final answer
    x = 2,660.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.