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Finding the Fourth Proportional to 1,433.19, 1,978.23 and 935.91

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Solution

The fourth proportional to 1,433.19, 1,978.23 and 935.91 is: 1,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.19 : 1,978.23 = 935.91 : x
  2. Step 2: Convert to fraction form
    1,433.19/1,978.23 = 935.91/x
  3. Step 3: Cross multiply
    1,433.19x = 1,978.23 × 935.91
  4. Step 4: Simplify right side
    1,433.19x = 1,851,437.92
  5. Step 5: Solve for x
    x = 1,851,437.92/1,433.19
  6. Step 6: Final answer
    x = 1,291.83

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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.