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Finding the Fourth Proportional to 2,950.50, 4,076.16 and 2,203.16

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Solution

The fourth proportional to 2,950.50, 4,076.16 and 2,203.16 is: 3,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.50 : 4,076.16 = 2,203.16 : x
  2. Step 2: Convert to fraction form
    2,950.50/4,076.16 = 2,203.16/x
  3. Step 3: Cross multiply
    2,950.50x = 4,076.16 × 2,203.16
  4. Step 4: Simplify right side
    2,950.50x = 8,980,432.67
  5. Step 5: Solve for x
    x = 8,980,432.67/2,950.50
  6. Step 6: Final answer
    x = 3,043.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.