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Finding the Fourth Proportional to 2,380.47, 3,564.72 and 1,442.91

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Solution

The fourth proportional to 2,380.47, 3,564.72 and 1,442.91 is: 2,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.47 : 3,564.72 = 1,442.91 : x
  2. Step 2: Convert to fraction form
    2,380.47/3,564.72 = 1,442.91/x
  3. Step 3: Cross multiply
    2,380.47x = 3,564.72 × 1,442.91
  4. Step 4: Simplify right side
    2,380.47x = 5,143,570.14
  5. Step 5: Solve for x
    x = 5,143,570.14/2,380.47
  6. Step 6: Final answer
    x = 2,160.74

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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.