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Finding the Fourth Proportional to 1,792.10, 2,684.49 and 1,607.72

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Solution

The fourth proportional to 1,792.10, 2,684.49 and 1,607.72 is: 2,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.10 : 2,684.49 = 1,607.72 : x
  2. Step 2: Convert to fraction form
    1,792.10/2,684.49 = 1,607.72/x
  3. Step 3: Cross multiply
    1,792.10x = 2,684.49 × 1,607.72
  4. Step 4: Simplify right side
    1,792.10x = 4,315,894.84
  5. Step 5: Solve for x
    x = 4,315,894.84/1,792.10
  6. Step 6: Final answer
    x = 2,408.30

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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.