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Finding the Fourth Proportional to 2,353.84, 3,530.79 and 1,914.59

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Solution

The fourth proportional to 2,353.84, 3,530.79 and 1,914.59 is: 2,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.84 : 3,530.79 = 1,914.59 : x
  2. Step 2: Convert to fraction form
    2,353.84/3,530.79 = 1,914.59/x
  3. Step 3: Cross multiply
    2,353.84x = 3,530.79 × 1,914.59
  4. Step 4: Simplify right side
    2,353.84x = 6,760,024.05
  5. Step 5: Solve for x
    x = 6,760,024.05/2,353.84
  6. Step 6: Final answer
    x = 2,871.92

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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.