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Finding the Fourth Proportional to 2,490.14, 3,430.06 and 1,899.65

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Solution

The fourth proportional to 2,490.14, 3,430.06 and 1,899.65 is: 2,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.14 : 3,430.06 = 1,899.65 : x
  2. Step 2: Convert to fraction form
    2,490.14/3,430.06 = 1,899.65/x
  3. Step 3: Cross multiply
    2,490.14x = 3,430.06 × 1,899.65
  4. Step 4: Simplify right side
    2,490.14x = 6,515,891.58
  5. Step 5: Solve for x
    x = 6,515,891.58/2,490.14
  6. Step 6: Final answer
    x = 2,616.68

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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.