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Finding the Fourth Proportional to 2,993.14, 4,130.61 and 1,813.51

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Solution

The fourth proportional to 2,993.14, 4,130.61 and 1,813.51 is: 2,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.14 : 4,130.61 = 1,813.51 : x
  2. Step 2: Convert to fraction form
    2,993.14/4,130.61 = 1,813.51/x
  3. Step 3: Cross multiply
    2,993.14x = 4,130.61 × 1,813.51
  4. Step 4: Simplify right side
    2,993.14x = 7,490,902.54
  5. Step 5: Solve for x
    x = 7,490,902.54/2,993.14
  6. Step 6: Final answer
    x = 2,502.69

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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.