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Finding the Fourth Proportional to 2,663.56, 3,676.56 and 2,383.28

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Solution

The fourth proportional to 2,663.56, 3,676.56 and 2,383.28 is: 3,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.56 : 3,676.56 = 2,383.28 : x
  2. Step 2: Convert to fraction form
    2,663.56/3,676.56 = 2,383.28/x
  3. Step 3: Cross multiply
    2,663.56x = 3,676.56 × 2,383.28
  4. Step 4: Simplify right side
    2,663.56x = 8,762,271.92
  5. Step 5: Solve for x
    x = 8,762,271.92/2,663.56
  6. Step 6: Final answer
    x = 3,289.68

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1.5x scale

Why These Related Problems?

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