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Finding the Fourth Proportional to 3,011.78, 4,513.80 and 1,254.80

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Solution

The fourth proportional to 3,011.78, 4,513.80 and 1,254.80 is: 1,880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.78 : 4,513.80 = 1,254.80 : x
  2. Step 2: Convert to fraction form
    3,011.78/4,513.80 = 1,254.80/x
  3. Step 3: Cross multiply
    3,011.78x = 4,513.80 × 1,254.80
  4. Step 4: Simplify right side
    3,011.78x = 5,663,916.24
  5. Step 5: Solve for x
    x = 5,663,916.24/3,011.78
  6. Step 6: Final answer
    x = 1,880.59

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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.