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Finding the Fourth Proportional to 1,475.97, 2,214.23 and 928.82

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Solution

The fourth proportional to 1,475.97, 2,214.23 and 928.82 is: 1,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.97 : 2,214.23 = 928.82 : x
  2. Step 2: Convert to fraction form
    1,475.97/2,214.23 = 928.82/x
  3. Step 3: Cross multiply
    1,475.97x = 2,214.23 × 928.82
  4. Step 4: Simplify right side
    1,475.97x = 2,056,605.39
  5. Step 5: Solve for x
    x = 2,056,605.39/1,475.97
  6. Step 6: Final answer
    x = 1,393.39

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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.