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Finding the Fourth Proportional to 1,357.20, 1,873.80 and 1,109.12

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Solution

The fourth proportional to 1,357.20, 1,873.80 and 1,109.12 is: 1,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.20 : 1,873.80 = 1,109.12 : x
  2. Step 2: Convert to fraction form
    1,357.20/1,873.80 = 1,109.12/x
  3. Step 3: Cross multiply
    1,357.20x = 1,873.80 × 1,109.12
  4. Step 4: Simplify right side
    1,357.20x = 2,078,269.06
  5. Step 5: Solve for x
    x = 2,078,269.06/1,357.20
  6. Step 6: Final answer
    x = 1,531.29

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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.