Home / 1,462.10-2,193.18-816.96

Finding the Fourth Proportional to 1,462.10, 2,193.18 and 816.96

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Solution

The fourth proportional to 1,462.10, 2,193.18 and 816.96 is: 1,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.10 : 2,193.18 = 816.96 : x
  2. Step 2: Convert to fraction form
    1,462.10/2,193.18 = 816.96/x
  3. Step 3: Cross multiply
    1,462.10x = 2,193.18 × 816.96
  4. Step 4: Simplify right side
    1,462.10x = 1,791,740.33
  5. Step 5: Solve for x
    x = 1,791,740.33/1,462.10
  6. Step 6: Final answer
    x = 1,225.46

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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.