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Finding the Fourth Proportional to 2,602.45, 3,900.21 and 957.48

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Solution

The fourth proportional to 2,602.45, 3,900.21 and 957.48 is: 1,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.45 : 3,900.21 = 957.48 : x
  2. Step 2: Convert to fraction form
    2,602.45/3,900.21 = 957.48/x
  3. Step 3: Cross multiply
    2,602.45x = 3,900.21 × 957.48
  4. Step 4: Simplify right side
    2,602.45x = 3,734,373.07
  5. Step 5: Solve for x
    x = 3,734,373.07/2,602.45
  6. Step 6: Final answer
    x = 1,434.95

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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.