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Finding the Fourth Proportional to 1,676.30, 2,507.16 and 981.32

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Solution

The fourth proportional to 1,676.30, 2,507.16 and 981.32 is: 1,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.30 : 2,507.16 = 981.32 : x
  2. Step 2: Convert to fraction form
    1,676.30/2,507.16 = 981.32/x
  3. Step 3: Cross multiply
    1,676.30x = 2,507.16 × 981.32
  4. Step 4: Simplify right side
    1,676.30x = 2,460,326.25
  5. Step 5: Solve for x
    x = 2,460,326.25/1,676.30
  6. Step 6: Final answer
    x = 1,467.71

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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.