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Finding the Fourth Proportional to 1,377.12, 1,900.32 and 817.48

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Solution

The fourth proportional to 1,377.12, 1,900.32 and 817.48 is: 1,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.12 : 1,900.32 = 817.48 : x
  2. Step 2: Convert to fraction form
    1,377.12/1,900.32 = 817.48/x
  3. Step 3: Cross multiply
    1,377.12x = 1,900.32 × 817.48
  4. Step 4: Simplify right side
    1,377.12x = 1,553,473.59
  5. Step 5: Solve for x
    x = 1,553,473.59/1,377.12
  6. Step 6: Final answer
    x = 1,128.06

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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.