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Finding the Fourth Proportional to 1,724.37, 2,585.94 and 554.33

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Solution

The fourth proportional to 1,724.37, 2,585.94 and 554.33 is: 831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.37 : 2,585.94 = 554.33 : x
  2. Step 2: Convert to fraction form
    1,724.37/2,585.94 = 554.33/x
  3. Step 3: Cross multiply
    1,724.37x = 2,585.94 × 554.33
  4. Step 4: Simplify right side
    1,724.37x = 1,433,451.19
  5. Step 5: Solve for x
    x = 1,433,451.19/1,724.37
  6. Step 6: Final answer
    x = 831.29

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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.