Home / 2,449.04-3,379.20-1,564.16

Finding the Fourth Proportional to 2,449.04, 3,379.20 and 1,564.16

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Solution

The fourth proportional to 2,449.04, 3,379.20 and 1,564.16 is: 2,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.04 : 3,379.20 = 1,564.16 : x
  2. Step 2: Convert to fraction form
    2,449.04/3,379.20 = 1,564.16/x
  3. Step 3: Cross multiply
    2,449.04x = 3,379.20 × 1,564.16
  4. Step 4: Simplify right side
    2,449.04x = 5,285,609.47
  5. Step 5: Solve for x
    x = 5,285,609.47/2,449.04
  6. Step 6: Final answer
    x = 2,158.24

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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.