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Finding the Fourth Proportional to 1,944.86, 2,916.34 and 957.74

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Solution

The fourth proportional to 1,944.86, 2,916.34 and 957.74 is: 1,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.86 : 2,916.34 = 957.74 : x
  2. Step 2: Convert to fraction form
    1,944.86/2,916.34 = 957.74/x
  3. Step 3: Cross multiply
    1,944.86x = 2,916.34 × 957.74
  4. Step 4: Simplify right side
    1,944.86x = 2,793,078.50
  5. Step 5: Solve for x
    x = 2,793,078.50/1,944.86
  6. Step 6: Final answer
    x = 1,436.14

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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.