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Finding the Fourth Proportional to 1,901.54, 2,848.01 and 1,022.51

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Solution

The fourth proportional to 1,901.54, 2,848.01 and 1,022.51 is: 1,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.54 : 2,848.01 = 1,022.51 : x
  2. Step 2: Convert to fraction form
    1,901.54/2,848.01 = 1,022.51/x
  3. Step 3: Cross multiply
    1,901.54x = 2,848.01 × 1,022.51
  4. Step 4: Simplify right side
    1,901.54x = 2,912,099.35
  5. Step 5: Solve for x
    x = 2,912,099.35/1,901.54
  6. Step 6: Final answer
    x = 1,531.45

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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.