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Finding the Fourth Proportional to 2,661.98, 3,673.88 and 1,918.40

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Solution

The fourth proportional to 2,661.98, 3,673.88 and 1,918.40 is: 2,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.98 : 3,673.88 = 1,918.40 : x
  2. Step 2: Convert to fraction form
    2,661.98/3,673.88 = 1,918.40/x
  3. Step 3: Cross multiply
    2,661.98x = 3,673.88 × 1,918.40
  4. Step 4: Simplify right side
    2,661.98x = 7,047,943.43
  5. Step 5: Solve for x
    x = 7,047,943.43/2,661.98
  6. Step 6: Final answer
    x = 2,647.64

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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.