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Finding the Fourth Proportional to 1,377.11, 1,900.12 and 817.50

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Solution

The fourth proportional to 1,377.11, 1,900.12 and 817.50 is: 1,127.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.11 : 1,900.12 = 817.50 : x
  2. Step 2: Convert to fraction form
    1,377.11/1,900.12 = 817.50/x
  3. Step 3: Cross multiply
    1,377.11x = 1,900.12 × 817.50
  4. Step 4: Simplify right side
    1,377.11x = 1,553,348.10
  5. Step 5: Solve for x
    x = 1,553,348.10/1,377.11
  6. Step 6: Final answer
    x = 1,127.98

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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.