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Finding the Fourth Proportional to 2,957.63, 4,435.53 and 982.84

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Solution

The fourth proportional to 2,957.63, 4,435.53 and 982.84 is: 1,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.63 : 4,435.53 = 982.84 : x
  2. Step 2: Convert to fraction form
    2,957.63/4,435.53 = 982.84/x
  3. Step 3: Cross multiply
    2,957.63x = 4,435.53 × 982.84
  4. Step 4: Simplify right side
    2,957.63x = 4,359,418.76
  5. Step 5: Solve for x
    x = 4,359,418.76/2,957.63
  6. Step 6: Final answer
    x = 1,473.96

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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.