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Finding the Fourth Proportional to 1,936.46, 2,900.66 and 946.28

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Solution

The fourth proportional to 1,936.46, 2,900.66 and 946.28 is: 1,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.46 : 2,900.66 = 946.28 : x
  2. Step 2: Convert to fraction form
    1,936.46/2,900.66 = 946.28/x
  3. Step 3: Cross multiply
    1,936.46x = 2,900.66 × 946.28
  4. Step 4: Simplify right side
    1,936.46x = 2,744,846.16
  5. Step 5: Solve for x
    x = 2,744,846.16/1,936.46
  6. Step 6: Final answer
    x = 1,417.46

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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.