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Finding the Fourth Proportional to 1,433.19, 1,978.17 and 935.01

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Solution

The fourth proportional to 1,433.19, 1,978.17 and 935.01 is: 1,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.19 : 1,978.17 = 935.01 : x
  2. Step 2: Convert to fraction form
    1,433.19/1,978.17 = 935.01/x
  3. Step 3: Cross multiply
    1,433.19x = 1,978.17 × 935.01
  4. Step 4: Simplify right side
    1,433.19x = 1,849,608.73
  5. Step 5: Solve for x
    x = 1,849,608.73/1,433.19
  6. Step 6: Final answer
    x = 1,290.55

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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.