Home / 2,311.42-3,465.48-1,078.16

Finding the Fourth Proportional to 2,311.42, 3,465.48 and 1,078.16

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Solution

The fourth proportional to 2,311.42, 3,465.48 and 1,078.16 is: 1,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.42 : 3,465.48 = 1,078.16 : x
  2. Step 2: Convert to fraction form
    2,311.42/3,465.48 = 1,078.16/x
  3. Step 3: Cross multiply
    2,311.42x = 3,465.48 × 1,078.16
  4. Step 4: Simplify right side
    2,311.42x = 3,736,348.13
  5. Step 5: Solve for x
    x = 3,736,348.13/2,311.42
  6. Step 6: Final answer
    x = 1,616.47

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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.