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Finding the Fourth Proportional to 2,602.75, 3,904.51 and 959.18

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Solution

The fourth proportional to 2,602.75, 3,904.51 and 959.18 is: 1,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.75 : 3,904.51 = 959.18 : x
  2. Step 2: Convert to fraction form
    2,602.75/3,904.51 = 959.18/x
  3. Step 3: Cross multiply
    2,602.75x = 3,904.51 × 959.18
  4. Step 4: Simplify right side
    2,602.75x = 3,745,127.90
  5. Step 5: Solve for x
    x = 3,745,127.90/2,602.75
  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.