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Finding the Fourth Proportional to 2,901.44, 4,004.01 and 1,575.15

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Solution

The fourth proportional to 2,901.44, 4,004.01 and 1,575.15 is: 2,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.44 : 4,004.01 = 1,575.15 : x
  2. Step 2: Convert to fraction form
    2,901.44/4,004.01 = 1,575.15/x
  3. Step 3: Cross multiply
    2,901.44x = 4,004.01 × 1,575.15
  4. Step 4: Simplify right side
    2,901.44x = 6,306,923.86
  5. Step 5: Solve for x
    x = 6,306,923.86/2,901.44
  6. Step 6: Final answer
    x = 2,173.72

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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.