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Finding the Fourth Proportional to 2,535.66, 3,495.38 and 1,788.44

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Solution

The fourth proportional to 2,535.66, 3,495.38 and 1,788.44 is: 2,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.66 : 3,495.38 = 1,788.44 : x
  2. Step 2: Convert to fraction form
    2,535.66/3,495.38 = 1,788.44/x
  3. Step 3: Cross multiply
    2,535.66x = 3,495.38 × 1,788.44
  4. Step 4: Simplify right side
    2,535.66x = 6,251,250.99
  5. Step 5: Solve for x
    x = 6,251,250.99/2,535.66
  6. Step 6: Final answer
    x = 2,465.33

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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.