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Finding the Fourth Proportional to 1,497.70, 2,243.70 and 933.94

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Solution

The fourth proportional to 1,497.70, 2,243.70 and 933.94 is: 1,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.70 : 2,243.70 = 933.94 : x
  2. Step 2: Convert to fraction form
    1,497.70/2,243.70 = 933.94/x
  3. Step 3: Cross multiply
    1,497.70x = 2,243.70 × 933.94
  4. Step 4: Simplify right side
    1,497.70x = 2,095,481.18
  5. Step 5: Solve for x
    x = 2,095,481.18/1,497.70
  6. Step 6: Final answer
    x = 1,399.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.