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Finding the Fourth Proportional to 1,433.48, 1,978.64 and 935.24

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Solution

The fourth proportional to 1,433.48, 1,978.64 and 935.24 is: 1,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.48 : 1,978.64 = 935.24 : x
  2. Step 2: Convert to fraction form
    1,433.48/1,978.64 = 935.24/x
  3. Step 3: Cross multiply
    1,433.48x = 1,978.64 × 935.24
  4. Step 4: Simplify right side
    1,433.48x = 1,850,503.27
  5. Step 5: Solve for x
    x = 1,850,503.27/1,433.48
  6. Step 6: Final answer
    x = 1,290.92

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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.