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Finding the Fourth Proportional to 2,271.19, 3,406.40 and 627.29

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Solution

The fourth proportional to 2,271.19, 3,406.40 and 627.29 is: 940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.19 : 3,406.40 = 627.29 : x
  2. Step 2: Convert to fraction form
    2,271.19/3,406.40 = 627.29/x
  3. Step 3: Cross multiply
    2,271.19x = 3,406.40 × 627.29
  4. Step 4: Simplify right side
    2,271.19x = 2,136,818.30
  5. Step 5: Solve for x
    x = 2,136,818.30/2,271.19
  6. Step 6: Final answer
    x = 940.84

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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.