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Finding the Fourth Proportional to 2,003.18, 3,005.24 and 686.94

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Solution

The fourth proportional to 2,003.18, 3,005.24 and 686.94 is: 1,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.18 : 3,005.24 = 686.94 : x
  2. Step 2: Convert to fraction form
    2,003.18/3,005.24 = 686.94/x
  3. Step 3: Cross multiply
    2,003.18x = 3,005.24 × 686.94
  4. Step 4: Simplify right side
    2,003.18x = 2,064,416.13
  5. Step 5: Solve for x
    x = 2,064,416.13/2,003.18
  6. Step 6: Final answer
    x = 1,030.57

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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.