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Finding the Fourth Proportional to 1,724.88, 2,380.73 and 1,026.66

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Solution

The fourth proportional to 1,724.88, 2,380.73 and 1,026.66 is: 1,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.88 : 2,380.73 = 1,026.66 : x
  2. Step 2: Convert to fraction form
    1,724.88/2,380.73 = 1,026.66/x
  3. Step 3: Cross multiply
    1,724.88x = 2,380.73 × 1,026.66
  4. Step 4: Simplify right side
    1,724.88x = 2,444,200.26
  5. Step 5: Solve for x
    x = 2,444,200.26/1,724.88
  6. Step 6: Final answer
    x = 1,417.03

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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.