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Finding the Fourth Proportional to 2,384.10, 3,576.12 and 740.46

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Solution

The fourth proportional to 2,384.10, 3,576.12 and 740.46 is: 1,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.10 : 3,576.12 = 740.46 : x
  2. Step 2: Convert to fraction form
    2,384.10/3,576.12 = 740.46/x
  3. Step 3: Cross multiply
    2,384.10x = 3,576.12 × 740.46
  4. Step 4: Simplify right side
    2,384.10x = 2,647,973.82
  5. Step 5: Solve for x
    x = 2,647,973.82/2,384.10
  6. Step 6: Final answer
    x = 1,110.68

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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.