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Finding the Fourth Proportional to 2,052.86, 3,077.09 and 1,064.69

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Solution

The fourth proportional to 2,052.86, 3,077.09 and 1,064.69 is: 1,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.86 : 3,077.09 = 1,064.69 : x
  2. Step 2: Convert to fraction form
    2,052.86/3,077.09 = 1,064.69/x
  3. Step 3: Cross multiply
    2,052.86x = 3,077.09 × 1,064.69
  4. Step 4: Simplify right side
    2,052.86x = 3,276,150.59
  5. Step 5: Solve for x
    x = 3,276,150.59/2,052.86
  6. Step 6: Final answer
    x = 1,595.89

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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.