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Finding the Fourth Proportional to 1,377.10, 1,900.06 and 935.43

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Solution

The fourth proportional to 1,377.10, 1,900.06 and 935.43 is: 1,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.10 : 1,900.06 = 935.43 : x
  2. Step 2: Convert to fraction form
    1,377.10/1,900.06 = 935.43/x
  3. Step 3: Cross multiply
    1,377.10x = 1,900.06 × 935.43
  4. Step 4: Simplify right side
    1,377.10x = 1,777,373.13
  5. Step 5: Solve for x
    x = 1,777,373.13/1,377.10
  6. Step 6: Final answer
    x = 1,290.66

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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.