Home / 2,430.36-3,644.78-869.95

Finding the Fourth Proportional to 2,430.36, 3,644.78 and 869.95

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Solution

The fourth proportional to 2,430.36, 3,644.78 and 869.95 is: 1,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.36 : 3,644.78 = 869.95 : x
  2. Step 2: Convert to fraction form
    2,430.36/3,644.78 = 869.95/x
  3. Step 3: Cross multiply
    2,430.36x = 3,644.78 × 869.95
  4. Step 4: Simplify right side
    2,430.36x = 3,170,776.36
  5. Step 5: Solve for x
    x = 3,170,776.36/2,430.36
  6. Step 6: Final answer
    x = 1,304.65

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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.