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Finding the Fourth Proportional to 3,216.48, 4,825.20 and 1,164

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Solution

The fourth proportional to 3,216.48, 4,825.20 and 1,164 is: 1,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.48 : 4,825.20 = 1,164 : x
  2. Step 2: Convert to fraction form
    3,216.48/4,825.20 = 1,164/x
  3. Step 3: Cross multiply
    3,216.48x = 4,825.20 × 1,164
  4. Step 4: Simplify right side
    3,216.48x = 5,616,532.80
  5. Step 5: Solve for x
    x = 5,616,532.80/3,216.48
  6. Step 6: Final answer
    x = 1,746.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.