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Finding the Fourth Proportional to 2,035.89, 3,052.76 and 719.19

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Solution

The fourth proportional to 2,035.89, 3,052.76 and 719.19 is: 1,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.89 : 3,052.76 = 719.19 : x
  2. Step 2: Convert to fraction form
    2,035.89/3,052.76 = 719.19/x
  3. Step 3: Cross multiply
    2,035.89x = 3,052.76 × 719.19
  4. Step 4: Simplify right side
    2,035.89x = 2,195,510.87
  5. Step 5: Solve for x
    x = 2,195,510.87/2,035.89
  6. Step 6: Final answer
    x = 1,078.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.