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Finding the Fourth Proportional to 1,730.23, 2,592.64 and 949.57

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Solution

The fourth proportional to 1,730.23, 2,592.64 and 949.57 is: 1,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.23 : 2,592.64 = 949.57 : x
  2. Step 2: Convert to fraction form
    1,730.23/2,592.64 = 949.57/x
  3. Step 3: Cross multiply
    1,730.23x = 2,592.64 × 949.57
  4. Step 4: Simplify right side
    1,730.23x = 2,461,893.16
  5. Step 5: Solve for x
    x = 2,461,893.16/1,730.23
  6. Step 6: Final answer
    x = 1,422.87

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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.