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Finding the Fourth Proportional to 1,722.98, 2,567.36 and 1,639.31

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Solution

The fourth proportional to 1,722.98, 2,567.36 and 1,639.31 is: 2,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.98 : 2,567.36 = 1,639.31 : x
  2. Step 2: Convert to fraction form
    1,722.98/2,567.36 = 1,639.31/x
  3. Step 3: Cross multiply
    1,722.98x = 2,567.36 × 1,639.31
  4. Step 4: Simplify right side
    1,722.98x = 4,208,690.18
  5. Step 5: Solve for x
    x = 4,208,690.18/1,722.98
  6. Step 6: Final answer
    x = 2,442.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.