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Finding the Fourth Proportional to 2,341.70, 3,511.63 and 954.78

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Solution

The fourth proportional to 2,341.70, 3,511.63 and 954.78 is: 1,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.70 : 3,511.63 = 954.78 : x
  2. Step 2: Convert to fraction form
    2,341.70/3,511.63 = 954.78/x
  3. Step 3: Cross multiply
    2,341.70x = 3,511.63 × 954.78
  4. Step 4: Simplify right side
    2,341.70x = 3,352,834.09
  5. Step 5: Solve for x
    x = 3,352,834.09/2,341.70
  6. Step 6: Final answer
    x = 1,431.79

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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.