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Finding the Fourth Proportional to 2,377.76, 3,567.12 and 1,404.56

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Solution

The fourth proportional to 2,377.76, 3,567.12 and 1,404.56 is: 2,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.76 : 3,567.12 = 1,404.56 : x
  2. Step 2: Convert to fraction form
    2,377.76/3,567.12 = 1,404.56/x
  3. Step 3: Cross multiply
    2,377.76x = 3,567.12 × 1,404.56
  4. Step 4: Simplify right side
    2,377.76x = 5,010,234.07
  5. Step 5: Solve for x
    x = 5,010,234.07/2,377.76
  6. Step 6: Final answer
    x = 2,107.12

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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.