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Finding the Fourth Proportional to 3,444.63, 5,162.84 and 1,980.75

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Solution

The fourth proportional to 3,444.63, 5,162.84 and 1,980.75 is: 2,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.63 : 5,162.84 = 1,980.75 : x
  2. Step 2: Convert to fraction form
    3,444.63/5,162.84 = 1,980.75/x
  3. Step 3: Cross multiply
    3,444.63x = 5,162.84 × 1,980.75
  4. Step 4: Simplify right side
    3,444.63x = 10,226,312.21
  5. Step 5: Solve for x
    x = 10,226,312.21/3,444.63
  6. Step 6: Final answer
    x = 2,968.77

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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.