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Finding the Fourth Proportional to 1,987.38, 2,979.81 and 945.99

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Solution

The fourth proportional to 1,987.38, 2,979.81 and 945.99 is: 1,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.38 : 2,979.81 = 945.99 : x
  2. Step 2: Convert to fraction form
    1,987.38/2,979.81 = 945.99/x
  3. Step 3: Cross multiply
    1,987.38x = 2,979.81 × 945.99
  4. Step 4: Simplify right side
    1,987.38x = 2,818,870.46
  5. Step 5: Solve for x
    x = 2,818,870.46/1,987.38
  6. Step 6: Final answer
    x = 1,418.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.