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Finding the Fourth Proportional to 3,202.34, 4,802.63 and 1,011.02

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Solution

The fourth proportional to 3,202.34, 4,802.63 and 1,011.02 is: 1,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.34 : 4,802.63 = 1,011.02 : x
  2. Step 2: Convert to fraction form
    3,202.34/4,802.63 = 1,011.02/x
  3. Step 3: Cross multiply
    3,202.34x = 4,802.63 × 1,011.02
  4. Step 4: Simplify right side
    3,202.34x = 4,855,525.91
  5. Step 5: Solve for x
    x = 4,855,525.91/3,202.34
  6. Step 6: Final answer
    x = 1,516.25

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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.