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Finding the Fourth Proportional to 2,290.98, 3,431.64 and 1,900.02

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Solution

The fourth proportional to 2,290.98, 3,431.64 and 1,900.02 is: 2,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.98 : 3,431.64 = 1,900.02 : x
  2. Step 2: Convert to fraction form
    2,290.98/3,431.64 = 1,900.02/x
  3. Step 3: Cross multiply
    2,290.98x = 3,431.64 × 1,900.02
  4. Step 4: Simplify right side
    2,290.98x = 6,520,184.63
  5. Step 5: Solve for x
    x = 6,520,184.63/2,290.98
  6. Step 6: Final answer
    x = 2,846.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.