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Finding the Fourth Proportional to 2,602.47, 3,904.26 and 959.13

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Solution

The fourth proportional to 2,602.47, 3,904.26 and 959.13 is: 1,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.47 : 3,904.26 = 959.13 : x
  2. Step 2: Convert to fraction form
    2,602.47/3,904.26 = 959.13/x
  3. Step 3: Cross multiply
    2,602.47x = 3,904.26 × 959.13
  4. Step 4: Simplify right side
    2,602.47x = 3,744,692.89
  5. Step 5: Solve for x
    x = 3,744,692.89/2,602.47
  6. Step 6: Final answer
    x = 1,438.90

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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.