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Finding the Fourth Proportional to 1,576.45, 2,362.03 and 1,113.46

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Solution

The fourth proportional to 1,576.45, 2,362.03 and 1,113.46 is: 1,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.45 : 2,362.03 = 1,113.46 : x
  2. Step 2: Convert to fraction form
    1,576.45/2,362.03 = 1,113.46/x
  3. Step 3: Cross multiply
    1,576.45x = 2,362.03 × 1,113.46
  4. Step 4: Simplify right side
    1,576.45x = 2,630,025.92
  5. Step 5: Solve for x
    x = 2,630,025.92/1,576.45
  6. Step 6: Final answer
    x = 1,668.32

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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.