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Finding the Fourth Proportional to 2,034.91, 3,052.65 and 647.77

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Solution

The fourth proportional to 2,034.91, 3,052.65 and 647.77 is: 971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.91 : 3,052.65 = 647.77 : x
  2. Step 2: Convert to fraction form
    2,034.91/3,052.65 = 647.77/x
  3. Step 3: Cross multiply
    2,034.91x = 3,052.65 × 647.77
  4. Step 4: Simplify right side
    2,034.91x = 1,977,415.09
  5. Step 5: Solve for x
    x = 1,977,415.09/2,034.91
  6. Step 6: Final answer
    x = 971.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.