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Finding the Fourth Proportional to 4,322.48, 6,483.18 and 1,202.72

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Solution

The fourth proportional to 4,322.48, 6,483.18 and 1,202.72 is: 1,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.48 : 6,483.18 = 1,202.72 : x
  2. Step 2: Convert to fraction form
    4,322.48/6,483.18 = 1,202.72/x
  3. Step 3: Cross multiply
    4,322.48x = 6,483.18 × 1,202.72
  4. Step 4: Simplify right side
    4,322.48x = 7,797,450.25
  5. Step 5: Solve for x
    x = 7,797,450.25/4,322.48
  6. Step 6: Final answer
    x = 1,803.93

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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.