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Finding the Fourth Proportional to 1,897.68, 2,824.20 and 1,828.56

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Solution

The fourth proportional to 1,897.68, 2,824.20 and 1,828.56 is: 2,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.68 : 2,824.20 = 1,828.56 : x
  2. Step 2: Convert to fraction form
    1,897.68/2,824.20 = 1,828.56/x
  3. Step 3: Cross multiply
    1,897.68x = 2,824.20 × 1,828.56
  4. Step 4: Simplify right side
    1,897.68x = 5,164,219.15
  5. Step 5: Solve for x
    x = 5,164,219.15/1,897.68
  6. Step 6: Final answer
    x = 2,721.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.