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Finding the Fourth Proportional to 2,663.70, 3,676.01 and 1,484.77

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Solution

The fourth proportional to 2,663.70, 3,676.01 and 1,484.77 is: 2,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.70 : 3,676.01 = 1,484.77 : x
  2. Step 2: Convert to fraction form
    2,663.70/3,676.01 = 1,484.77/x
  3. Step 3: Cross multiply
    2,663.70x = 3,676.01 × 1,484.77
  4. Step 4: Simplify right side
    2,663.70x = 5,458,029.37
  5. Step 5: Solve for x
    x = 5,458,029.37/2,663.70
  6. Step 6: Final answer
    x = 2,049.04

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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.