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Finding the Fourth Proportional to 2,912.13, 4,019.16 and 1,653.51

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Solution

The fourth proportional to 2,912.13, 4,019.16 and 1,653.51 is: 2,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.13 : 4,019.16 = 1,653.51 : x
  2. Step 2: Convert to fraction form
    2,912.13/4,019.16 = 1,653.51/x
  3. Step 3: Cross multiply
    2,912.13x = 4,019.16 × 1,653.51
  4. Step 4: Simplify right side
    2,912.13x = 6,645,721.25
  5. Step 5: Solve for x
    x = 6,645,721.25/2,912.13
  6. Step 6: Final answer
    x = 2,282.08

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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.