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Finding the Fourth Proportional to 1,474.17, 2,032.17 and 942.98

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Solution

The fourth proportional to 1,474.17, 2,032.17 and 942.98 is: 1,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.17 : 2,032.17 = 942.98 : x
  2. Step 2: Convert to fraction form
    1,474.17/2,032.17 = 942.98/x
  3. Step 3: Cross multiply
    1,474.17x = 2,032.17 × 942.98
  4. Step 4: Simplify right side
    1,474.17x = 1,916,285.51
  5. Step 5: Solve for x
    x = 1,916,285.51/1,474.17
  6. Step 6: Final answer
    x = 1,299.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.