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Finding the Fourth Proportional to 2,271.60, 3,407.58 and 628.02

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Solution

The fourth proportional to 2,271.60, 3,407.58 and 628.02 is: 942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.60 : 3,407.58 = 628.02 : x
  2. Step 2: Convert to fraction form
    2,271.60/3,407.58 = 628.02/x
  3. Step 3: Cross multiply
    2,271.60x = 3,407.58 × 628.02
  4. Step 4: Simplify right side
    2,271.60x = 2,140,028.39
  5. Step 5: Solve for x
    x = 2,140,028.39/2,271.60
  6. Step 6: Final answer
    x = 942.08

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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.