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Finding the Fourth Proportional to 1,732.44, 2,586.10 and 1,603.98

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Solution

The fourth proportional to 1,732.44, 2,586.10 and 1,603.98 is: 2,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.44 : 2,586.10 = 1,603.98 : x
  2. Step 2: Convert to fraction form
    1,732.44/2,586.10 = 1,603.98/x
  3. Step 3: Cross multiply
    1,732.44x = 2,586.10 × 1,603.98
  4. Step 4: Simplify right side
    1,732.44x = 4,148,052.68
  5. Step 5: Solve for x
    x = 4,148,052.68/1,732.44
  6. Step 6: Final answer
    x = 2,394.34

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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.