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Finding the Fourth Proportional to 2,330.60, 3,492.30 and 1,963.40

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Solution

The fourth proportional to 2,330.60, 3,492.30 and 1,963.40 is: 2,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.60 : 3,492.30 = 1,963.40 : x
  2. Step 2: Convert to fraction form
    2,330.60/3,492.30 = 1,963.40/x
  3. Step 3: Cross multiply
    2,330.60x = 3,492.30 × 1,963.40
  4. Step 4: Simplify right side
    2,330.60x = 6,856,781.82
  5. Step 5: Solve for x
    x = 6,856,781.82/2,330.60
  6. Step 6: Final answer
    x = 2,942.07

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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.