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Finding the Fourth Proportional to 2,685.54, 4,025.87 and 953.76

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Solution

The fourth proportional to 2,685.54, 4,025.87 and 953.76 is: 1,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.54 : 4,025.87 = 953.76 : x
  2. Step 2: Convert to fraction form
    2,685.54/4,025.87 = 953.76/x
  3. Step 3: Cross multiply
    2,685.54x = 4,025.87 × 953.76
  4. Step 4: Simplify right side
    2,685.54x = 3,839,710.40
  5. Step 5: Solve for x
    x = 3,839,710.40/2,685.54
  6. Step 6: Final answer
    x = 1,429.77

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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.