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Finding the Fourth Proportional to 2,424.58, 3,634.16 and 1,037.22

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Solution

The fourth proportional to 2,424.58, 3,634.16 and 1,037.22 is: 1,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.58 : 3,634.16 = 1,037.22 : x
  2. Step 2: Convert to fraction form
    2,424.58/3,634.16 = 1,037.22/x
  3. Step 3: Cross multiply
    2,424.58x = 3,634.16 × 1,037.22
  4. Step 4: Simplify right side
    2,424.58x = 3,769,423.44
  5. Step 5: Solve for x
    x = 3,769,423.44/2,424.58
  6. Step 6: Final answer
    x = 1,554.67

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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.