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Finding the Fourth Proportional to 1,433.50, 1,977.56 and 935.95

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Solution

The fourth proportional to 1,433.50, 1,977.56 and 935.95 is: 1,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.50 : 1,977.56 = 935.95 : x
  2. Step 2: Convert to fraction form
    1,433.50/1,977.56 = 935.95/x
  3. Step 3: Cross multiply
    1,433.50x = 1,977.56 × 935.95
  4. Step 4: Simplify right side
    1,433.50x = 1,850,897.28
  5. Step 5: Solve for x
    x = 1,850,897.28/1,433.50
  6. Step 6: Final answer
    x = 1,291.17

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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.