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Finding the Fourth Proportional to 2,901.69, 4,351.66 and 821.54

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Solution

The fourth proportional to 2,901.69, 4,351.66 and 821.54 is: 1,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.69 : 4,351.66 = 821.54 : x
  2. Step 2: Convert to fraction form
    2,901.69/4,351.66 = 821.54/x
  3. Step 3: Cross multiply
    2,901.69x = 4,351.66 × 821.54
  4. Step 4: Simplify right side
    2,901.69x = 3,575,071.58
  5. Step 5: Solve for x
    x = 3,575,071.58/2,901.69
  6. Step 6: Final answer
    x = 1,232.07

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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.