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Finding the Fourth Proportional to 2,901.56, 4,004.10 and 1,575.27

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Solution

The fourth proportional to 2,901.56, 4,004.10 and 1,575.27 is: 2,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.56 : 4,004.10 = 1,575.27 : x
  2. Step 2: Convert to fraction form
    2,901.56/4,004.10 = 1,575.27/x
  3. Step 3: Cross multiply
    2,901.56x = 4,004.10 × 1,575.27
  4. Step 4: Simplify right side
    2,901.56x = 6,307,538.61
  5. Step 5: Solve for x
    x = 6,307,538.61/2,901.56
  6. Step 6: Final answer
    x = 2,173.85

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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.