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Finding the Fourth Proportional to 1,673.78, 2,513.12 and 1,154.57

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Solution

The fourth proportional to 1,673.78, 2,513.12 and 1,154.57 is: 1,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.78 : 2,513.12 = 1,154.57 : x
  2. Step 2: Convert to fraction form
    1,673.78/2,513.12 = 1,154.57/x
  3. Step 3: Cross multiply
    1,673.78x = 2,513.12 × 1,154.57
  4. Step 4: Simplify right side
    1,673.78x = 2,901,554.62
  5. Step 5: Solve for x
    x = 2,901,554.62/1,673.78
  6. Step 6: Final answer
    x = 1,733.54

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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.