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Finding the Fourth Proportional to 3,235.29, 4,464.55 and 1,978.45

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Solution

The fourth proportional to 3,235.29, 4,464.55 and 1,978.45 is: 2,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.29 : 4,464.55 = 1,978.45 : x
  2. Step 2: Convert to fraction form
    3,235.29/4,464.55 = 1,978.45/x
  3. Step 3: Cross multiply
    3,235.29x = 4,464.55 × 1,978.45
  4. Step 4: Simplify right side
    3,235.29x = 8,832,880.26
  5. Step 5: Solve for x
    x = 8,832,880.26/3,235.29
  6. Step 6: Final answer
    x = 2,730.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.