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Finding the Fourth Proportional to 1,742.28, 2,611.60 and 646.15

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Solution

The fourth proportional to 1,742.28, 2,611.60 and 646.15 is: 968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.28 : 2,611.60 = 646.15 : x
  2. Step 2: Convert to fraction form
    1,742.28/2,611.60 = 646.15/x
  3. Step 3: Cross multiply
    1,742.28x = 2,611.60 × 646.15
  4. Step 4: Simplify right side
    1,742.28x = 1,687,477.20
  5. Step 5: Solve for x
    x = 1,687,477.20/1,742.28
  6. Step 6: Final answer
    x = 968.55

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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.