Home / 2,310.09-3,465.90-923.10

Finding the Fourth Proportional to 2,310.09, 3,465.90 and 923.10

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Solution

The fourth proportional to 2,310.09, 3,465.90 and 923.10 is: 1,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.09 : 3,465.90 = 923.10 : x
  2. Step 2: Convert to fraction form
    2,310.09/3,465.90 = 923.10/x
  3. Step 3: Cross multiply
    2,310.09x = 3,465.90 × 923.10
  4. Step 4: Simplify right side
    2,310.09x = 3,199,372.29
  5. Step 5: Solve for x
    x = 3,199,372.29/2,310.09
  6. Step 6: Final answer
    x = 1,384.96

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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.