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Finding the Fourth Proportional to 1,724.58, 2,382.34 and 1,538.01

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Solution

The fourth proportional to 1,724.58, 2,382.34 and 1,538.01 is: 2,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.58 : 2,382.34 = 1,538.01 : x
  2. Step 2: Convert to fraction form
    1,724.58/2,382.34 = 1,538.01/x
  3. Step 3: Cross multiply
    1,724.58x = 2,382.34 × 1,538.01
  4. Step 4: Simplify right side
    1,724.58x = 3,664,062.74
  5. Step 5: Solve for x
    x = 3,664,062.74/1,724.58
  6. Step 6: Final answer
    x = 2,124.61

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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.