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Finding the Fourth Proportional to 1,927, 2,660.46 and 1,484.06

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Solution

The fourth proportional to 1,927, 2,660.46 and 1,484.06 is: 2,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927 : 2,660.46 = 1,484.06 : x
  2. Step 2: Convert to fraction form
    1,927/2,660.46 = 1,484.06/x
  3. Step 3: Cross multiply
    1,927x = 2,660.46 × 1,484.06
  4. Step 4: Simplify right side
    1,927x = 3,948,282.27
  5. Step 5: Solve for x
    x = 3,948,282.27/1,927
  6. Step 6: Final answer
    x = 2,048.93

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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.