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Finding the Fourth Proportional to 1,688.73, 2,330.62 and 1,025.64

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Solution

The fourth proportional to 1,688.73, 2,330.62 and 1,025.64 is: 1,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.73 : 2,330.62 = 1,025.64 : x
  2. Step 2: Convert to fraction form
    1,688.73/2,330.62 = 1,025.64/x
  3. Step 3: Cross multiply
    1,688.73x = 2,330.62 × 1,025.64
  4. Step 4: Simplify right side
    1,688.73x = 2,390,383.27
  5. Step 5: Solve for x
    x = 2,390,383.27/1,688.73
  6. Step 6: Final answer
    x = 1,415.49

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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.