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Finding the Fourth Proportional to 2,829.78, 4,244.94 and 882.54

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Solution

The fourth proportional to 2,829.78, 4,244.94 and 882.54 is: 1,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.78 : 4,244.94 = 882.54 : x
  2. Step 2: Convert to fraction form
    2,829.78/4,244.94 = 882.54/x
  3. Step 3: Cross multiply
    2,829.78x = 4,244.94 × 882.54
  4. Step 4: Simplify right side
    2,829.78x = 3,746,329.35
  5. Step 5: Solve for x
    x = 3,746,329.35/2,829.78
  6. Step 6: Final answer
    x = 1,323.89

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1.5x scale

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.