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Finding the Fourth Proportional to 1,835.32, 2,532.99 and 1,127.61

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Solution

The fourth proportional to 1,835.32, 2,532.99 and 1,127.61 is: 1,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.32 : 2,532.99 = 1,127.61 : x
  2. Step 2: Convert to fraction form
    1,835.32/2,532.99 = 1,127.61/x
  3. Step 3: Cross multiply
    1,835.32x = 2,532.99 × 1,127.61
  4. Step 4: Simplify right side
    1,835.32x = 2,856,224.85
  5. Step 5: Solve for x
    x = 2,856,224.85/1,835.32
  6. Step 6: Final answer
    x = 1,556.25

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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.