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Finding the Fourth Proportional to 1,575.40, 2,174.84 and 986.28

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Solution

The fourth proportional to 1,575.40, 2,174.84 and 986.28 is: 1,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.40 : 2,174.84 = 986.28 : x
  2. Step 2: Convert to fraction form
    1,575.40/2,174.84 = 986.28/x
  3. Step 3: Cross multiply
    1,575.40x = 2,174.84 × 986.28
  4. Step 4: Simplify right side
    1,575.40x = 2,145,001.20
  5. Step 5: Solve for x
    x = 2,145,001.20/1,575.40
  6. Step 6: Final answer
    x = 1,361.56

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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.