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Finding the Fourth Proportional to 2,352.16, 3,245.52 and 1,605.28

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Solution

The fourth proportional to 2,352.16, 3,245.52 and 1,605.28 is: 2,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.16 : 3,245.52 = 1,605.28 : x
  2. Step 2: Convert to fraction form
    2,352.16/3,245.52 = 1,605.28/x
  3. Step 3: Cross multiply
    2,352.16x = 3,245.52 × 1,605.28
  4. Step 4: Simplify right side
    2,352.16x = 5,209,968.35
  5. Step 5: Solve for x
    x = 5,209,968.35/2,352.16
  6. Step 6: Final answer
    x = 2,214.97

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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.