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Finding the Fourth Proportional to 2,923.59, 4,035.02 and 1,744.44

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Solution

The fourth proportional to 2,923.59, 4,035.02 and 1,744.44 is: 2,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.59 : 4,035.02 = 1,744.44 : x
  2. Step 2: Convert to fraction form
    2,923.59/4,035.02 = 1,744.44/x
  3. Step 3: Cross multiply
    2,923.59x = 4,035.02 × 1,744.44
  4. Step 4: Simplify right side
    2,923.59x = 7,038,826.44
  5. Step 5: Solve for x
    x = 7,038,826.44/2,923.59
  6. Step 6: Final answer
    x = 2,407.59

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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.