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Finding the Fourth Proportional to 2,003.48, 3,001.58 and 1,477.70

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Solution

The fourth proportional to 2,003.48, 3,001.58 and 1,477.70 is: 2,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.48 : 3,001.58 = 1,477.70 : x
  2. Step 2: Convert to fraction form
    2,003.48/3,001.58 = 1,477.70/x
  3. Step 3: Cross multiply
    2,003.48x = 3,001.58 × 1,477.70
  4. Step 4: Simplify right side
    2,003.48x = 4,435,412.37
  5. Step 5: Solve for x
    x = 4,435,412.37/2,003.48
  6. Step 6: Final answer
    x = 2,213.86

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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.