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Finding the Fourth Proportional to 4,322.64, 6,484.08 and 1,202.66

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Solution

The fourth proportional to 4,322.64, 6,484.08 and 1,202.66 is: 1,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.64 : 6,484.08 = 1,202.66 : x
  2. Step 2: Convert to fraction form
    4,322.64/6,484.08 = 1,202.66/x
  3. Step 3: Cross multiply
    4,322.64x = 6,484.08 × 1,202.66
  4. Step 4: Simplify right side
    4,322.64x = 7,798,143.65
  5. Step 5: Solve for x
    x = 7,798,143.65/4,322.64
  6. Step 6: Final answer
    x = 1,804.02

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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.