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Finding the Fourth Proportional to 2,602.31, 3,904.47 and 959.03

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Solution

The fourth proportional to 2,602.31, 3,904.47 and 959.03 is: 1,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.31 : 3,904.47 = 959.03 : x
  2. Step 2: Convert to fraction form
    2,602.31/3,904.47 = 959.03/x
  3. Step 3: Cross multiply
    2,602.31x = 3,904.47 × 959.03
  4. Step 4: Simplify right side
    2,602.31x = 3,744,484.34
  5. Step 5: Solve for x
    x = 3,744,484.34/2,602.31
  6. Step 6: Final answer
    x = 1,438.91

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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.