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Finding the Fourth Proportional to 1,902.59, 2,858.02 and 1,610.69

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Solution

The fourth proportional to 1,902.59, 2,858.02 and 1,610.69 is: 2,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.59 : 2,858.02 = 1,610.69 : x
  2. Step 2: Convert to fraction form
    1,902.59/2,858.02 = 1,610.69/x
  3. Step 3: Cross multiply
    1,902.59x = 2,858.02 × 1,610.69
  4. Step 4: Simplify right side
    1,902.59x = 4,603,381.99
  5. Step 5: Solve for x
    x = 4,603,381.99/1,902.59
  6. Step 6: Final answer
    x = 2,419.53

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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.