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Finding the Fourth Proportional to 3,173.60, 4,379.52 and 1,776.40

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Solution

The fourth proportional to 3,173.60, 4,379.52 and 1,776.40 is: 2,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.60 : 4,379.52 = 1,776.40 : x
  2. Step 2: Convert to fraction form
    3,173.60/4,379.52 = 1,776.40/x
  3. Step 3: Cross multiply
    3,173.60x = 4,379.52 × 1,776.40
  4. Step 4: Simplify right side
    3,173.60x = 7,779,779.33
  5. Step 5: Solve for x
    x = 7,779,779.33/3,173.60
  6. Step 6: Final answer
    x = 2,451.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.