Home / 2,364.21-3,543.76-976.83

Finding the Fourth Proportional to 2,364.21, 3,543.76 and 976.83

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Solution

The fourth proportional to 2,364.21, 3,543.76 and 976.83 is: 1,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.21 : 3,543.76 = 976.83 : x
  2. Step 2: Convert to fraction form
    2,364.21/3,543.76 = 976.83/x
  3. Step 3: Cross multiply
    2,364.21x = 3,543.76 × 976.83
  4. Step 4: Simplify right side
    2,364.21x = 3,461,651.08
  5. Step 5: Solve for x
    x = 3,461,651.08/2,364.21
  6. Step 6: Final answer
    x = 1,464.19

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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.