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Finding the Fourth Proportional to 1,809.59, 2,490.91 and 1,576.31

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Solution

The fourth proportional to 1,809.59, 2,490.91 and 1,576.31 is: 2,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.59 : 2,490.91 = 1,576.31 : x
  2. Step 2: Convert to fraction form
    1,809.59/2,490.91 = 1,576.31/x
  3. Step 3: Cross multiply
    1,809.59x = 2,490.91 × 1,576.31
  4. Step 4: Simplify right side
    1,809.59x = 3,926,429.95
  5. Step 5: Solve for x
    x = 3,926,429.95/1,809.59
  6. Step 6: Final answer
    x = 2,169.80

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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.