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Finding the Fourth Proportional to 1,799.40, 2,484.32 and 1,468.62

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Solution

The fourth proportional to 1,799.40, 2,484.32 and 1,468.62 is: 2,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.40 : 2,484.32 = 1,468.62 : x
  2. Step 2: Convert to fraction form
    1,799.40/2,484.32 = 1,468.62/x
  3. Step 3: Cross multiply
    1,799.40x = 2,484.32 × 1,468.62
  4. Step 4: Simplify right side
    1,799.40x = 3,648,514.70
  5. Step 5: Solve for x
    x = 3,648,514.70/1,799.40
  6. Step 6: Final answer
    x = 2,027.63

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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.