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Finding the Fourth Proportional to 1,731.96, 2,390.28 and 986.05

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Solution

The fourth proportional to 1,731.96, 2,390.28 and 986.05 is: 1,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.96 : 2,390.28 = 986.05 : x
  2. Step 2: Convert to fraction form
    1,731.96/2,390.28 = 986.05/x
  3. Step 3: Cross multiply
    1,731.96x = 2,390.28 × 986.05
  4. Step 4: Simplify right side
    1,731.96x = 2,356,936.48
  5. Step 5: Solve for x
    x = 2,356,936.48/1,731.96
  6. Step 6: Final answer
    x = 1,360.85

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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.