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Finding the Fourth Proportional to 2,330.44, 3,495.78 and 943.57

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Solution

The fourth proportional to 2,330.44, 3,495.78 and 943.57 is: 1,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.44 : 3,495.78 = 943.57 : x
  2. Step 2: Convert to fraction form
    2,330.44/3,495.78 = 943.57/x
  3. Step 3: Cross multiply
    2,330.44x = 3,495.78 × 943.57
  4. Step 4: Simplify right side
    2,330.44x = 3,298,513.13
  5. Step 5: Solve for x
    x = 3,298,513.13/2,330.44
  6. Step 6: Final answer
    x = 1,415.40

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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.