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Finding the Fourth Proportional to 1,530.17, 2,293.90 and 664.01

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Solution

The fourth proportional to 1,530.17, 2,293.90 and 664.01 is: 995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.17 : 2,293.90 = 664.01 : x
  2. Step 2: Convert to fraction form
    1,530.17/2,293.90 = 664.01/x
  3. Step 3: Cross multiply
    1,530.17x = 2,293.90 × 664.01
  4. Step 4: Simplify right side
    1,530.17x = 1,523,172.54
  5. Step 5: Solve for x
    x = 1,523,172.54/1,530.17
  6. Step 6: Final answer
    x = 995.43

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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.