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Finding the Fourth Proportional to 2,280.84, 3,147.03 and 1,536.18

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Solution

The fourth proportional to 2,280.84, 3,147.03 and 1,536.18 is: 2,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.84 : 3,147.03 = 1,536.18 : x
  2. Step 2: Convert to fraction form
    2,280.84/3,147.03 = 1,536.18/x
  3. Step 3: Cross multiply
    2,280.84x = 3,147.03 × 1,536.18
  4. Step 4: Simplify right side
    2,280.84x = 4,834,404.55
  5. Step 5: Solve for x
    x = 4,834,404.55/2,280.84
  6. Step 6: Final answer
    x = 2,119.57

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