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Finding the Fourth Proportional to 1,555.86, 2,142.54 and 1,162.20

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Solution

The fourth proportional to 1,555.86, 2,142.54 and 1,162.20 is: 1,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.86 : 2,142.54 = 1,162.20 : x
  2. Step 2: Convert to fraction form
    1,555.86/2,142.54 = 1,162.20/x
  3. Step 3: Cross multiply
    1,555.86x = 2,142.54 × 1,162.20
  4. Step 4: Simplify right side
    1,555.86x = 2,490,059.99
  5. Step 5: Solve for x
    x = 2,490,059.99/1,555.86
  6. Step 6: Final answer
    x = 1,600.44

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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.