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Finding the Fourth Proportional to 4,171.64, 6,259.93 and 1,540.99

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Solution

The fourth proportional to 4,171.64, 6,259.93 and 1,540.99 is: 2,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.64 : 6,259.93 = 1,540.99 : x
  2. Step 2: Convert to fraction form
    4,171.64/6,259.93 = 1,540.99/x
  3. Step 3: Cross multiply
    4,171.64x = 6,259.93 × 1,540.99
  4. Step 4: Simplify right side
    4,171.64x = 9,646,489.53
  5. Step 5: Solve for x
    x = 9,646,489.53/4,171.64
  6. Step 6: Final answer
    x = 2,312.40

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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.