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Finding the Fourth Proportional to 3,492.16, 5,230.70 and 1,640.50

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Solution

The fourth proportional to 3,492.16, 5,230.70 and 1,640.50 is: 2,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.16 : 5,230.70 = 1,640.50 : x
  2. Step 2: Convert to fraction form
    3,492.16/5,230.70 = 1,640.50/x
  3. Step 3: Cross multiply
    3,492.16x = 5,230.70 × 1,640.50
  4. Step 4: Simplify right side
    3,492.16x = 8,580,954.37
  5. Step 5: Solve for x
    x = 8,580,954.37/3,492.16
  6. Step 6: Final answer
    x = 2,457.21

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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.