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Finding the Fourth Proportional to 2,437.26, 3,655.57 and 976.43

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Solution

The fourth proportional to 2,437.26, 3,655.57 and 976.43 is: 1,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.26 : 3,655.57 = 976.43 : x
  2. Step 2: Convert to fraction form
    2,437.26/3,655.57 = 976.43/x
  3. Step 3: Cross multiply
    2,437.26x = 3,655.57 × 976.43
  4. Step 4: Simplify right side
    2,437.26x = 3,569,408.22
  5. Step 5: Solve for x
    x = 3,569,408.22/2,437.26
  6. Step 6: Final answer
    x = 1,464.52

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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.