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Finding the Fourth Proportional to 2,137.40, 2,949.98 and 1,698.64

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Solution

The fourth proportional to 2,137.40, 2,949.98 and 1,698.64 is: 2,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.40 : 2,949.98 = 1,698.64 : x
  2. Step 2: Convert to fraction form
    2,137.40/2,949.98 = 1,698.64/x
  3. Step 3: Cross multiply
    2,137.40x = 2,949.98 × 1,698.64
  4. Step 4: Simplify right side
    2,137.40x = 5,010,954.03
  5. Step 5: Solve for x
    x = 5,010,954.03/2,137.40
  6. Step 6: Final answer
    x = 2,344.42

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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.