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Finding the Fourth Proportional to 1,779.61, 2,662.42 and 1,571.84

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Solution

The fourth proportional to 1,779.61, 2,662.42 and 1,571.84 is: 2,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.61 : 2,662.42 = 1,571.84 : x
  2. Step 2: Convert to fraction form
    1,779.61/2,662.42 = 1,571.84/x
  3. Step 3: Cross multiply
    1,779.61x = 2,662.42 × 1,571.84
  4. Step 4: Simplify right side
    1,779.61x = 4,184,898.25
  5. Step 5: Solve for x
    x = 4,184,898.25/1,779.61
  6. Step 6: Final answer
    x = 2,351.58

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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.