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Finding the Fourth Proportional to 2,328.21, 3,492.27 and 596.84

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Solution

The fourth proportional to 2,328.21, 3,492.27 and 596.84 is: 895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.21 : 3,492.27 = 596.84 : x
  2. Step 2: Convert to fraction form
    2,328.21/3,492.27 = 596.84/x
  3. Step 3: Cross multiply
    2,328.21x = 3,492.27 × 596.84
  4. Step 4: Simplify right side
    2,328.21x = 2,084,308.97
  5. Step 5: Solve for x
    x = 2,084,308.97/2,328.21
  6. Step 6: Final answer
    x = 895.24

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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.