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Finding the Fourth Proportional to 2,826.22, 4,235.22 and 2,478.70

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Solution

The fourth proportional to 2,826.22, 4,235.22 and 2,478.70 is: 3,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.22 : 4,235.22 = 2,478.70 : x
  2. Step 2: Convert to fraction form
    2,826.22/4,235.22 = 2,478.70/x
  3. Step 3: Cross multiply
    2,826.22x = 4,235.22 × 2,478.70
  4. Step 4: Simplify right side
    2,826.22x = 10,497,839.81
  5. Step 5: Solve for x
    x = 10,497,839.81/2,826.22
  6. Step 6: Final answer
    x = 3,714.45

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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.