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Finding the Fourth Proportional to 2,398.87, 3,595.22 and 1,166.63

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Solution

The fourth proportional to 2,398.87, 3,595.22 and 1,166.63 is: 1,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.87 : 3,595.22 = 1,166.63 : x
  2. Step 2: Convert to fraction form
    2,398.87/3,595.22 = 1,166.63/x
  3. Step 3: Cross multiply
    2,398.87x = 3,595.22 × 1,166.63
  4. Step 4: Simplify right side
    2,398.87x = 4,194,287.11
  5. Step 5: Solve for x
    x = 4,194,287.11/2,398.87
  6. Step 6: Final answer
    x = 1,748.45

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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.