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Finding the Fourth Proportional to 2,064.14, 2,845.29 and 1,564.77

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Solution

The fourth proportional to 2,064.14, 2,845.29 and 1,564.77 is: 2,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.14 : 2,845.29 = 1,564.77 : x
  2. Step 2: Convert to fraction form
    2,064.14/2,845.29 = 1,564.77/x
  3. Step 3: Cross multiply
    2,064.14x = 2,845.29 × 1,564.77
  4. Step 4: Simplify right side
    2,064.14x = 4,452,224.43
  5. Step 5: Solve for x
    x = 4,452,224.43/2,064.14
  6. Step 6: Final answer
    x = 2,156.94

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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.