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Finding the Fourth Proportional to 4,431.71, 6,643.47 and 1,656.27

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Solution

The fourth proportional to 4,431.71, 6,643.47 and 1,656.27 is: 2,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431.71 : 6,643.47 = 1,656.27 : x
  2. Step 2: Convert to fraction form
    4,431.71/6,643.47 = 1,656.27/x
  3. Step 3: Cross multiply
    4,431.71x = 6,643.47 × 1,656.27
  4. Step 4: Simplify right side
    4,431.71x = 11,003,395.64
  5. Step 5: Solve for x
    x = 11,003,395.64/4,431.71
  6. Step 6: Final answer
    x = 2,482.88

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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.