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Finding the Fourth Proportional to 1,677.82, 2,317.72 and 1,595.80

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Solution

The fourth proportional to 1,677.82, 2,317.72 and 1,595.80 is: 2,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.82 : 2,317.72 = 1,595.80 : x
  2. Step 2: Convert to fraction form
    1,677.82/2,317.72 = 1,595.80/x
  3. Step 3: Cross multiply
    1,677.82x = 2,317.72 × 1,595.80
  4. Step 4: Simplify right side
    1,677.82x = 3,698,617.58
  5. Step 5: Solve for x
    x = 3,698,617.58/1,677.82
  6. Step 6: Final answer
    x = 2,204.42

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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.