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Finding the Fourth Proportional to 2,901.66, 4,004.25 and 1,575.33

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Solution

The fourth proportional to 2,901.66, 4,004.25 and 1,575.33 is: 2,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.66 : 4,004.25 = 1,575.33 : x
  2. Step 2: Convert to fraction form
    2,901.66/4,004.25 = 1,575.33/x
  3. Step 3: Cross multiply
    2,901.66x = 4,004.25 × 1,575.33
  4. Step 4: Simplify right side
    2,901.66x = 6,308,015.15
  5. Step 5: Solve for x
    x = 6,308,015.15/2,901.66
  6. Step 6: Final answer
    x = 2,173.93

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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.