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Finding the Fourth Proportional to 1,451.03, 2,003.75 and 927.98

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Solution

The fourth proportional to 1,451.03, 2,003.75 and 927.98 is: 1,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.03 : 2,003.75 = 927.98 : x
  2. Step 2: Convert to fraction form
    1,451.03/2,003.75 = 927.98/x
  3. Step 3: Cross multiply
    1,451.03x = 2,003.75 × 927.98
  4. Step 4: Simplify right side
    1,451.03x = 1,859,425.27
  5. Step 5: Solve for x
    x = 1,859,425.27/1,451.03
  6. Step 6: Final answer
    x = 1,281.46

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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.