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Finding the Fourth Proportional to 3,023.58, 4,534.08 and 1,267.44

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Solution

The fourth proportional to 3,023.58, 4,534.08 and 1,267.44 is: 1,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.58 : 4,534.08 = 1,267.44 : x
  2. Step 2: Convert to fraction form
    3,023.58/4,534.08 = 1,267.44/x
  3. Step 3: Cross multiply
    3,023.58x = 4,534.08 × 1,267.44
  4. Step 4: Simplify right side
    3,023.58x = 5,746,674.36
  5. Step 5: Solve for x
    x = 5,746,674.36/3,023.58
  6. Step 6: Final answer
    x = 1,900.62

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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.