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Finding the Fourth Proportional to 1,725.74, 2,379.46 and 1,409.84

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Solution

The fourth proportional to 1,725.74, 2,379.46 and 1,409.84 is: 1,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.74 : 2,379.46 = 1,409.84 : x
  2. Step 2: Convert to fraction form
    1,725.74/2,379.46 = 1,409.84/x
  3. Step 3: Cross multiply
    1,725.74x = 2,379.46 × 1,409.84
  4. Step 4: Simplify right side
    1,725.74x = 3,354,657.89
  5. Step 5: Solve for x
    x = 3,354,657.89/1,725.74
  6. Step 6: Final answer
    x = 1,943.90

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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.