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Finding the Fourth Proportional to 2,803.75, 4,206.12 and 955.06

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Solution

The fourth proportional to 2,803.75, 4,206.12 and 955.06 is: 1,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.75 : 4,206.12 = 955.06 : x
  2. Step 2: Convert to fraction form
    2,803.75/4,206.12 = 955.06/x
  3. Step 3: Cross multiply
    2,803.75x = 4,206.12 × 955.06
  4. Step 4: Simplify right side
    2,803.75x = 4,017,096.97
  5. Step 5: Solve for x
    x = 4,017,096.97/2,803.75
  6. Step 6: Final answer
    x = 1,432.76

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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.