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Finding the Fourth Proportional to 2,271.56, 3,407.56 and 628.12

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Solution

The fourth proportional to 2,271.56, 3,407.56 and 628.12 is: 942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.56 : 3,407.56 = 628.12 : x
  2. Step 2: Convert to fraction form
    2,271.56/3,407.56 = 628.12/x
  3. Step 3: Cross multiply
    2,271.56x = 3,407.56 × 628.12
  4. Step 4: Simplify right side
    2,271.56x = 2,140,356.59
  5. Step 5: Solve for x
    x = 2,140,356.59/2,271.56
  6. Step 6: Final answer
    x = 942.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.