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Finding the Fourth Proportional to 1,944.56, 2,916.74 and 969.86

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Solution

The fourth proportional to 1,944.56, 2,916.74 and 969.86 is: 1,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.56 : 2,916.74 = 969.86 : x
  2. Step 2: Convert to fraction form
    1,944.56/2,916.74 = 969.86/x
  3. Step 3: Cross multiply
    1,944.56x = 2,916.74 × 969.86
  4. Step 4: Simplify right side
    1,944.56x = 2,828,829.46
  5. Step 5: Solve for x
    x = 2,828,829.46/1,944.56
  6. Step 6: Final answer
    x = 1,454.74

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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.