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Finding the Fourth Proportional to 2,328.68, 3,492.43 and 941.60

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Solution

The fourth proportional to 2,328.68, 3,492.43 and 941.60 is: 1,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.68 : 3,492.43 = 941.60 : x
  2. Step 2: Convert to fraction form
    2,328.68/3,492.43 = 941.60/x
  3. Step 3: Cross multiply
    2,328.68x = 3,492.43 × 941.60
  4. Step 4: Simplify right side
    2,328.68x = 3,288,472.09
  5. Step 5: Solve for x
    x = 3,288,472.09/2,328.68
  6. Step 6: Final answer
    x = 1,412.16

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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.