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Finding the Fourth Proportional to 1,685.16, 2,325.22 and 1,280.57

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Solution

The fourth proportional to 1,685.16, 2,325.22 and 1,280.57 is: 1,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.16 : 2,325.22 = 1,280.57 : x
  2. Step 2: Convert to fraction form
    1,685.16/2,325.22 = 1,280.57/x
  3. Step 3: Cross multiply
    1,685.16x = 2,325.22 × 1,280.57
  4. Step 4: Simplify right side
    1,685.16x = 2,977,600.87
  5. Step 5: Solve for x
    x = 2,977,600.87/1,685.16
  6. Step 6: Final answer
    x = 1,766.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.