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Finding the Fourth Proportional to 1,820.79, 2,508.30 and 1,447.65

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Solution

The fourth proportional to 1,820.79, 2,508.30 and 1,447.65 is: 1,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.79 : 2,508.30 = 1,447.65 : x
  2. Step 2: Convert to fraction form
    1,820.79/2,508.30 = 1,447.65/x
  3. Step 3: Cross multiply
    1,820.79x = 2,508.30 × 1,447.65
  4. Step 4: Simplify right side
    1,820.79x = 3,631,140.50
  5. Step 5: Solve for x
    x = 3,631,140.50/1,820.79
  6. Step 6: Final answer
    x = 1,994.27

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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.