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Finding the Fourth Proportional to 2,274.41, 3,411.93 and 957.95

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Solution

The fourth proportional to 2,274.41, 3,411.93 and 957.95 is: 1,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.41 : 3,411.93 = 957.95 : x
  2. Step 2: Convert to fraction form
    2,274.41/3,411.93 = 957.95/x
  3. Step 3: Cross multiply
    2,274.41x = 3,411.93 × 957.95
  4. Step 4: Simplify right side
    2,274.41x = 3,268,458.34
  5. Step 5: Solve for x
    x = 3,268,458.34/2,274.41
  6. Step 6: Final answer
    x = 1,437.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.