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Finding the Fourth Proportional to 2,003.40, 3,003.30 and 1,784.70

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Solution

The fourth proportional to 2,003.40, 3,003.30 and 1,784.70 is: 2,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.40 : 3,003.30 = 1,784.70 : x
  2. Step 2: Convert to fraction form
    2,003.40/3,003.30 = 1,784.70/x
  3. Step 3: Cross multiply
    2,003.40x = 3,003.30 × 1,784.70
  4. Step 4: Simplify right side
    2,003.40x = 5,359,989.51
  5. Step 5: Solve for x
    x = 5,359,989.51/2,003.40
  6. Step 6: Final answer
    x = 2,675.45

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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.