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Finding the Fourth Proportional to 2,379.36, 3,567.96 and 1,148.16

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Solution

The fourth proportional to 2,379.36, 3,567.96 and 1,148.16 is: 1,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.36 : 3,567.96 = 1,148.16 : x
  2. Step 2: Convert to fraction form
    2,379.36/3,567.96 = 1,148.16/x
  3. Step 3: Cross multiply
    2,379.36x = 3,567.96 × 1,148.16
  4. Step 4: Simplify right side
    2,379.36x = 4,096,588.95
  5. Step 5: Solve for x
    x = 4,096,588.95/2,379.36
  6. Step 6: Final answer
    x = 1,721.72

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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.