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Finding the Fourth Proportional to 1,607.46, 2,408.78 and 1,169.54

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Solution

The fourth proportional to 1,607.46, 2,408.78 and 1,169.54 is: 1,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.46 : 2,408.78 = 1,169.54 : x
  2. Step 2: Convert to fraction form
    1,607.46/2,408.78 = 1,169.54/x
  3. Step 3: Cross multiply
    1,607.46x = 2,408.78 × 1,169.54
  4. Step 4: Simplify right side
    1,607.46x = 2,817,146.67
  5. Step 5: Solve for x
    x = 2,817,146.67/1,607.46
  6. Step 6: Final answer
    x = 1,752.55

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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.