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Finding the Fourth Proportional to 2,274.32, 3,138.59 and 1,389.93

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Solution

The fourth proportional to 2,274.32, 3,138.59 and 1,389.93 is: 1,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.32 : 3,138.59 = 1,389.93 : x
  2. Step 2: Convert to fraction form
    2,274.32/3,138.59 = 1,389.93/x
  3. Step 3: Cross multiply
    2,274.32x = 3,138.59 × 1,389.93
  4. Step 4: Simplify right side
    2,274.32x = 4,362,413.45
  5. Step 5: Solve for x
    x = 4,362,413.45/2,274.32
  6. Step 6: Final answer
    x = 1,918.12

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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.