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Finding the Fourth Proportional to 1,722, 2,593.40 and 1,529.44

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Solution

The fourth proportional to 1,722, 2,593.40 and 1,529.44 is: 2,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722 : 2,593.40 = 1,529.44 : x
  2. Step 2: Convert to fraction form
    1,722/2,593.40 = 1,529.44/x
  3. Step 3: Cross multiply
    1,722x = 2,593.40 × 1,529.44
  4. Step 4: Simplify right side
    1,722x = 3,966,449.70
  5. Step 5: Solve for x
    x = 3,966,449.70/1,722
  6. Step 6: Final answer
    x = 2,303.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.