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Finding the Fourth Proportional to 2,328.01, 3,491.68 and 941.32

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Solution

The fourth proportional to 2,328.01, 3,491.68 and 941.32 is: 1,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.01 : 3,491.68 = 941.32 : x
  2. Step 2: Convert to fraction form
    2,328.01/3,491.68 = 941.32/x
  3. Step 3: Cross multiply
    2,328.01x = 3,491.68 × 941.32
  4. Step 4: Simplify right side
    2,328.01x = 3,286,788.22
  5. Step 5: Solve for x
    x = 3,286,788.22/2,328.01
  6. Step 6: Final answer
    x = 1,411.84

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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.