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Finding the Fourth Proportional to 1,957.12, 2,935.67 and 982.98

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Solution

The fourth proportional to 1,957.12, 2,935.67 and 982.98 is: 1,474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.12 : 2,935.67 = 982.98 : x
  2. Step 2: Convert to fraction form
    1,957.12/2,935.67 = 982.98/x
  3. Step 3: Cross multiply
    1,957.12x = 2,935.67 × 982.98
  4. Step 4: Simplify right side
    1,957.12x = 2,885,699.98
  5. Step 5: Solve for x
    x = 2,885,699.98/1,957.12
  6. Step 6: Final answer
    x = 1,474.46

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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.