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Finding the Fourth Proportional to 1,879.30, 2,593.42 and 1,133.60

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Solution

The fourth proportional to 1,879.30, 2,593.42 and 1,133.60 is: 1,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.30 : 2,593.42 = 1,133.60 : x
  2. Step 2: Convert to fraction form
    1,879.30/2,593.42 = 1,133.60/x
  3. Step 3: Cross multiply
    1,879.30x = 2,593.42 × 1,133.60
  4. Step 4: Simplify right side
    1,879.30x = 2,939,885.11
  5. Step 5: Solve for x
    x = 2,939,885.11/1,879.30
  6. Step 6: Final answer
    x = 1,564.35

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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.