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Finding the Fourth Proportional to 4,943.32, 7,415.02 and 1,656.67

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Solution

The fourth proportional to 4,943.32, 7,415.02 and 1,656.67 is: 2,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.32 : 7,415.02 = 1,656.67 : x
  2. Step 2: Convert to fraction form
    4,943.32/7,415.02 = 1,656.67/x
  3. Step 3: Cross multiply
    4,943.32x = 7,415.02 × 1,656.67
  4. Step 4: Simplify right side
    4,943.32x = 12,284,241.18
  5. Step 5: Solve for x
    x = 12,284,241.18/4,943.32
  6. Step 6: Final answer
    x = 2,485.02

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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.