Home / 2,312.18-3,467.34-977.43

Finding the Fourth Proportional to 2,312.18, 3,467.34 and 977.43

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Solution

The fourth proportional to 2,312.18, 3,467.34 and 977.43 is: 1,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.18 : 3,467.34 = 977.43 : x
  2. Step 2: Convert to fraction form
    2,312.18/3,467.34 = 977.43/x
  3. Step 3: Cross multiply
    2,312.18x = 3,467.34 × 977.43
  4. Step 4: Simplify right side
    2,312.18x = 3,389,095.14
  5. Step 5: Solve for x
    x = 3,389,095.14/2,312.18
  6. Step 6: Final answer
    x = 1,465.76

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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.