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Finding the Fourth Proportional to 2,434.56, 3,649.92 and 973.44

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Solution

The fourth proportional to 2,434.56, 3,649.92 and 973.44 is: 1,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.56 : 3,649.92 = 973.44 : x
  2. Step 2: Convert to fraction form
    2,434.56/3,649.92 = 973.44/x
  3. Step 3: Cross multiply
    2,434.56x = 3,649.92 × 973.44
  4. Step 4: Simplify right side
    2,434.56x = 3,552,978.12
  5. Step 5: Solve for x
    x = 3,552,978.12/2,434.56
  6. Step 6: Final answer
    x = 1,459.39

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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.