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Finding the Fourth Proportional to 2,328.11, 3,492.19 and 684.68

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Solution

The fourth proportional to 2,328.11, 3,492.19 and 684.68 is: 1,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.11 : 3,492.19 = 684.68 : x
  2. Step 2: Convert to fraction form
    2,328.11/3,492.19 = 684.68/x
  3. Step 3: Cross multiply
    2,328.11x = 3,492.19 × 684.68
  4. Step 4: Simplify right side
    2,328.11x = 2,391,037.96
  5. Step 5: Solve for x
    x = 2,391,037.96/2,328.11
  6. Step 6: Final answer
    x = 1,027.03

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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.