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Finding the Fourth Proportional to 1,364.48, 1,884.16 and 1,016.72

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Solution

The fourth proportional to 1,364.48, 1,884.16 and 1,016.72 is: 1,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.48 : 1,884.16 = 1,016.72 : x
  2. Step 2: Convert to fraction form
    1,364.48/1,884.16 = 1,016.72/x
  3. Step 3: Cross multiply
    1,364.48x = 1,884.16 × 1,016.72
  4. Step 4: Simplify right side
    1,364.48x = 1,915,663.16
  5. Step 5: Solve for x
    x = 1,915,663.16/1,364.48
  6. Step 6: Final answer
    x = 1,403.95

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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.