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Finding the Fourth Proportional to 1,401.77, 1,934.75 and 935.75

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Solution

The fourth proportional to 1,401.77, 1,934.75 and 935.75 is: 1,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.77 : 1,934.75 = 935.75 : x
  2. Step 2: Convert to fraction form
    1,401.77/1,934.75 = 935.75/x
  3. Step 3: Cross multiply
    1,401.77x = 1,934.75 × 935.75
  4. Step 4: Simplify right side
    1,401.77x = 1,810,442.31
  5. Step 5: Solve for x
    x = 1,810,442.31/1,401.77
  6. Step 6: Final answer
    x = 1,291.54

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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.