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Finding the Fourth Proportional to 1,830.09, 2,744.28 and 790.05

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Solution

The fourth proportional to 1,830.09, 2,744.28 and 790.05 is: 1,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.09 : 2,744.28 = 790.05 : x
  2. Step 2: Convert to fraction form
    1,830.09/2,744.28 = 790.05/x
  3. Step 3: Cross multiply
    1,830.09x = 2,744.28 × 790.05
  4. Step 4: Simplify right side
    1,830.09x = 2,168,118.41
  5. Step 5: Solve for x
    x = 2,168,118.41/1,830.09
  6. Step 6: Final answer
    x = 1,184.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.