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Finding the Fourth Proportional to 2,602.67, 3,903.82 and 1,141.31

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Solution

The fourth proportional to 2,602.67, 3,903.82 and 1,141.31 is: 1,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.67 : 3,903.82 = 1,141.31 : x
  2. Step 2: Convert to fraction form
    2,602.67/3,903.82 = 1,141.31/x
  3. Step 3: Cross multiply
    2,602.67x = 3,903.82 × 1,141.31
  4. Step 4: Simplify right side
    2,602.67x = 4,455,475.71
  5. Step 5: Solve for x
    x = 4,455,475.71/2,602.67
  6. Step 6: Final answer
    x = 1,711.89

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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.