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Finding the Fourth Proportional to 2,271.46, 3,407.22 and 628.06

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Solution

The fourth proportional to 2,271.46, 3,407.22 and 628.06 is: 942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.46 : 3,407.22 = 628.06 : x
  2. Step 2: Convert to fraction form
    2,271.46/3,407.22 = 628.06/x
  3. Step 3: Cross multiply
    2,271.46x = 3,407.22 × 628.06
  4. Step 4: Simplify right side
    2,271.46x = 2,139,938.59
  5. Step 5: Solve for x
    x = 2,139,938.59/2,271.46
  6. Step 6: Final answer
    x = 942.10

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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.