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Finding the Fourth Proportional to 2,314.30, 3,488.11 and 1,993.54

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Solution

The fourth proportional to 2,314.30, 3,488.11 and 1,993.54 is: 3,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.30 : 3,488.11 = 1,993.54 : x
  2. Step 2: Convert to fraction form
    2,314.30/3,488.11 = 1,993.54/x
  3. Step 3: Cross multiply
    2,314.30x = 3,488.11 × 1,993.54
  4. Step 4: Simplify right side
    2,314.30x = 6,953,686.81
  5. Step 5: Solve for x
    x = 6,953,686.81/2,314.30
  6. Step 6: Final answer
    x = 3,004.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.