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Finding the Fourth Proportional to 4,452.26, 6,677.93 and 1,164.93

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Solution

The fourth proportional to 4,452.26, 6,677.93 and 1,164.93 is: 1,747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.26 : 6,677.93 = 1,164.93 : x
  2. Step 2: Convert to fraction form
    4,452.26/6,677.93 = 1,164.93/x
  3. Step 3: Cross multiply
    4,452.26x = 6,677.93 × 1,164.93
  4. Step 4: Simplify right side
    4,452.26x = 7,779,323.91
  5. Step 5: Solve for x
    x = 7,779,323.91/4,452.26
  6. Step 6: Final answer
    x = 1,747.27

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