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Finding the Fourth Proportional to 1,921.98, 2,881.08 and 689.16

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Solution

The fourth proportional to 1,921.98, 2,881.08 and 689.16 is: 1,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.98 : 2,881.08 = 689.16 : x
  2. Step 2: Convert to fraction form
    1,921.98/2,881.08 = 689.16/x
  3. Step 3: Cross multiply
    1,921.98x = 2,881.08 × 689.16
  4. Step 4: Simplify right side
    1,921.98x = 1,985,525.09
  5. Step 5: Solve for x
    x = 1,985,525.09/1,921.98
  6. Step 6: Final answer
    x = 1,033.06

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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.