Home / 2,283.62-3,430.90-1,463.50

Finding the Fourth Proportional to 2,283.62, 3,430.90 and 1,463.50

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Solution

The fourth proportional to 2,283.62, 3,430.90 and 1,463.50 is: 2,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.62 : 3,430.90 = 1,463.50 : x
  2. Step 2: Convert to fraction form
    2,283.62/3,430.90 = 1,463.50/x
  3. Step 3: Cross multiply
    2,283.62x = 3,430.90 × 1,463.50
  4. Step 4: Simplify right side
    2,283.62x = 5,021,122.15
  5. Step 5: Solve for x
    x = 5,021,122.15/2,283.62
  6. Step 6: Final answer
    x = 2,198.76

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1.5x scale

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.