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Finding the Fourth Proportional to 1,400.38, 2,097.48 and 935.98

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Solution

The fourth proportional to 1,400.38, 2,097.48 and 935.98 is: 1,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.38 : 2,097.48 = 935.98 : x
  2. Step 2: Convert to fraction form
    1,400.38/2,097.48 = 935.98/x
  3. Step 3: Cross multiply
    1,400.38x = 2,097.48 × 935.98
  4. Step 4: Simplify right side
    1,400.38x = 1,963,199.33
  5. Step 5: Solve for x
    x = 1,963,199.33/1,400.38
  6. Step 6: Final answer
    x = 1,401.90

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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.