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Finding the Fourth Proportional to 1,846.51, 2,551.06 and 1,569.63

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Solution

The fourth proportional to 1,846.51, 2,551.06 and 1,569.63 is: 2,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.51 : 2,551.06 = 1,569.63 : x
  2. Step 2: Convert to fraction form
    1,846.51/2,551.06 = 1,569.63/x
  3. Step 3: Cross multiply
    1,846.51x = 2,551.06 × 1,569.63
  4. Step 4: Simplify right side
    1,846.51x = 4,004,231.84
  5. Step 5: Solve for x
    x = 4,004,231.84/1,846.51
  6. Step 6: Final answer
    x = 2,168.54

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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.