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Finding the Fourth Proportional to 1,929.42, 2,656.80 and 1,744.20

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Solution

The fourth proportional to 1,929.42, 2,656.80 and 1,744.20 is: 2,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.42 : 2,656.80 = 1,744.20 : x
  2. Step 2: Convert to fraction form
    1,929.42/2,656.80 = 1,744.20/x
  3. Step 3: Cross multiply
    1,929.42x = 2,656.80 × 1,744.20
  4. Step 4: Simplify right side
    1,929.42x = 4,633,990.56
  5. Step 5: Solve for x
    x = 4,633,990.56/1,929.42
  6. Step 6: Final answer
    x = 2,401.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.