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Finding the Fourth Proportional to 2,341.15, 3,511.65 and 954.46

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Solution

The fourth proportional to 2,341.15, 3,511.65 and 954.46 is: 1,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.15 : 3,511.65 = 954.46 : x
  2. Step 2: Convert to fraction form
    2,341.15/3,511.65 = 954.46/x
  3. Step 3: Cross multiply
    2,341.15x = 3,511.65 × 954.46
  4. Step 4: Simplify right side
    2,341.15x = 3,351,727.55
  5. Step 5: Solve for x
    x = 3,351,727.55/2,341.15
  6. Step 6: Final answer
    x = 1,431.66

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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.