Home / 2,458.24-3,688.27-1,142.64

Finding the Fourth Proportional to 2,458.24, 3,688.27 and 1,142.64

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Solution

The fourth proportional to 2,458.24, 3,688.27 and 1,142.64 is: 1,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.24 : 3,688.27 = 1,142.64 : x
  2. Step 2: Convert to fraction form
    2,458.24/3,688.27 = 1,142.64/x
  3. Step 3: Cross multiply
    2,458.24x = 3,688.27 × 1,142.64
  4. Step 4: Simplify right side
    2,458.24x = 4,214,361.98
  5. Step 5: Solve for x
    x = 4,214,361.98/2,458.24
  6. Step 6: Final answer
    x = 1,714.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.