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Finding the Fourth Proportional to 1,839.16, 2,758.20 and 1,513.72

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Solution

The fourth proportional to 1,839.16, 2,758.20 and 1,513.72 is: 2,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.16 : 2,758.20 = 1,513.72 : x
  2. Step 2: Convert to fraction form
    1,839.16/2,758.20 = 1,513.72/x
  3. Step 3: Cross multiply
    1,839.16x = 2,758.20 × 1,513.72
  4. Step 4: Simplify right side
    1,839.16x = 4,175,142.50
  5. Step 5: Solve for x
    x = 4,175,142.50/1,839.16
  6. Step 6: Final answer
    x = 2,270.14

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Why These Related Problems?

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