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Finding the Fourth Proportional to 2,443.80, 3,665.69 and 1,210.88

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Solution

The fourth proportional to 2,443.80, 3,665.69 and 1,210.88 is: 1,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.80 : 3,665.69 = 1,210.88 : x
  2. Step 2: Convert to fraction form
    2,443.80/3,665.69 = 1,210.88/x
  3. Step 3: Cross multiply
    2,443.80x = 3,665.69 × 1,210.88
  4. Step 4: Simplify right side
    2,443.80x = 4,438,686.32
  5. Step 5: Solve for x
    x = 4,438,686.32/2,443.80
  6. Step 6: Final answer
    x = 1,816.31

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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.