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Finding the Fourth Proportional to 2,003.00, 3,003.14 and 703.76

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Solution

The fourth proportional to 2,003.00, 3,003.14 and 703.76 is: 1,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.00 : 3,003.14 = 703.76 : x
  2. Step 2: Convert to fraction form
    2,003.00/3,003.14 = 703.76/x
  3. Step 3: Cross multiply
    2,003.00x = 3,003.14 × 703.76
  4. Step 4: Simplify right side
    2,003.00x = 2,113,476.55
  5. Step 5: Solve for x
    x = 2,113,476.55/2,003.00
  6. Step 6: Final answer
    x = 1,055.16

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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.