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Finding the Fourth Proportional to 1,689.96, 2,331.18 and 1,505.64

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Solution

The fourth proportional to 1,689.96, 2,331.18 and 1,505.64 is: 2,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.96 : 2,331.18 = 1,505.64 : x
  2. Step 2: Convert to fraction form
    1,689.96/2,331.18 = 1,505.64/x
  3. Step 3: Cross multiply
    1,689.96x = 2,331.18 × 1,505.64
  4. Step 4: Simplify right side
    1,689.96x = 3,509,917.86
  5. Step 5: Solve for x
    x = 3,509,917.86/1,689.96
  6. Step 6: Final answer
    x = 2,076.92

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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.