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Finding the Fourth Proportional to 1,776.14, 2,659.47 and 1,568.51

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Solution

The fourth proportional to 1,776.14, 2,659.47 and 1,568.51 is: 2,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.14 : 2,659.47 = 1,568.51 : x
  2. Step 2: Convert to fraction form
    1,776.14/2,659.47 = 1,568.51/x
  3. Step 3: Cross multiply
    1,776.14x = 2,659.47 × 1,568.51
  4. Step 4: Simplify right side
    1,776.14x = 4,171,391.99
  5. Step 5: Solve for x
    x = 4,171,391.99/1,776.14
  6. Step 6: Final answer
    x = 2,348.58

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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.