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Finding the Fourth Proportional to 1,955.96, 2,934.81 and 982.74

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Solution

The fourth proportional to 1,955.96, 2,934.81 and 982.74 is: 1,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.96 : 2,934.81 = 982.74 : x
  2. Step 2: Convert to fraction form
    1,955.96/2,934.81 = 982.74/x
  3. Step 3: Cross multiply
    1,955.96x = 2,934.81 × 982.74
  4. Step 4: Simplify right side
    1,955.96x = 2,884,155.18
  5. Step 5: Solve for x
    x = 2,884,155.18/1,955.96
  6. Step 6: Final answer
    x = 1,474.55

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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.