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Finding the Fourth Proportional to 3,063.24, 4,595.52 and 983.36

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Solution

The fourth proportional to 3,063.24, 4,595.52 and 983.36 is: 1,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.24 : 4,595.52 = 983.36 : x
  2. Step 2: Convert to fraction form
    3,063.24/4,595.52 = 983.36/x
  3. Step 3: Cross multiply
    3,063.24x = 4,595.52 × 983.36
  4. Step 4: Simplify right side
    3,063.24x = 4,519,027.57
  5. Step 5: Solve for x
    x = 4,519,027.57/3,063.24
  6. Step 6: Final answer
    x = 1,475.24

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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.