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Finding the Fourth Proportional to 2,637.06, 3,957.96 and 1,405.50

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Solution

The fourth proportional to 2,637.06, 3,957.96 and 1,405.50 is: 2,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.06 : 3,957.96 = 1,405.50 : x
  2. Step 2: Convert to fraction form
    2,637.06/3,957.96 = 1,405.50/x
  3. Step 3: Cross multiply
    2,637.06x = 3,957.96 × 1,405.50
  4. Step 4: Simplify right side
    2,637.06x = 5,562,912.78
  5. Step 5: Solve for x
    x = 5,562,912.78/2,637.06
  6. Step 6: Final answer
    x = 2,109.51

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Why These Related Problems?

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