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Finding the Fourth Proportional to 2,952.64, 4,074.55 and 1,608.18

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Solution

The fourth proportional to 2,952.64, 4,074.55 and 1,608.18 is: 2,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.64 : 4,074.55 = 1,608.18 : x
  2. Step 2: Convert to fraction form
    2,952.64/4,074.55 = 1,608.18/x
  3. Step 3: Cross multiply
    2,952.64x = 4,074.55 × 1,608.18
  4. Step 4: Simplify right side
    2,952.64x = 6,552,609.82
  5. Step 5: Solve for x
    x = 6,552,609.82/2,952.64
  6. Step 6: Final answer
    x = 2,219.24

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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.