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Finding the Fourth Proportional to 2,077.60, 2,858.98 and 2,064.82

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Solution

The fourth proportional to 2,077.60, 2,858.98 and 2,064.82 is: 2,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.60 : 2,858.98 = 2,064.82 : x
  2. Step 2: Convert to fraction form
    2,077.60/2,858.98 = 2,064.82/x
  3. Step 3: Cross multiply
    2,077.60x = 2,858.98 × 2,064.82
  4. Step 4: Simplify right side
    2,077.60x = 5,903,279.08
  5. Step 5: Solve for x
    x = 5,903,279.08/2,077.60
  6. Step 6: Final answer
    x = 2,841.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.