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Finding the Fourth Proportional to 1,730.21, 2,595.29 and 634.57

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Solution

The fourth proportional to 1,730.21, 2,595.29 and 634.57 is: 951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.21 : 2,595.29 = 634.57 : x
  2. Step 2: Convert to fraction form
    1,730.21/2,595.29 = 634.57/x
  3. Step 3: Cross multiply
    1,730.21x = 2,595.29 × 634.57
  4. Step 4: Simplify right side
    1,730.21x = 1,646,888.27
  5. Step 5: Solve for x
    x = 1,646,888.27/1,730.21
  6. Step 6: Final answer
    x = 951.84

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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.