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Finding the Fourth Proportional to 1,604.37, 2,412.05 and 1,484.13

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Solution

The fourth proportional to 1,604.37, 2,412.05 and 1,484.13 is: 2,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.37 : 2,412.05 = 1,484.13 : x
  2. Step 2: Convert to fraction form
    1,604.37/2,412.05 = 1,484.13/x
  3. Step 3: Cross multiply
    1,604.37x = 2,412.05 × 1,484.13
  4. Step 4: Simplify right side
    1,604.37x = 3,579,788.35
  5. Step 5: Solve for x
    x = 3,579,788.35/1,604.37
  6. Step 6: Final answer
    x = 2,231.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.