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Finding the Fourth Proportional to 2,957.01, 4,081.60 and 1,762.87

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Solution

The fourth proportional to 2,957.01, 4,081.60 and 1,762.87 is: 2,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.01 : 4,081.60 = 1,762.87 : x
  2. Step 2: Convert to fraction form
    2,957.01/4,081.60 = 1,762.87/x
  3. Step 3: Cross multiply
    2,957.01x = 4,081.60 × 1,762.87
  4. Step 4: Simplify right side
    2,957.01x = 7,195,335.19
  5. Step 5: Solve for x
    x = 7,195,335.19/2,957.01
  6. Step 6: Final answer
    x = 2,433.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.