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Finding the Fourth Proportional to 1,689.64, 2,331.32 and 981.07

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Solution

The fourth proportional to 1,689.64, 2,331.32 and 981.07 is: 1,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.64 : 2,331.32 = 981.07 : x
  2. Step 2: Convert to fraction form
    1,689.64/2,331.32 = 981.07/x
  3. Step 3: Cross multiply
    1,689.64x = 2,331.32 × 981.07
  4. Step 4: Simplify right side
    1,689.64x = 2,287,188.11
  5. Step 5: Solve for x
    x = 2,287,188.11/1,689.64
  6. Step 6: Final answer
    x = 1,353.65

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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.