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Finding the Fourth Proportional to 2,725.64, 3,762.51 and 1,842.64

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Solution

The fourth proportional to 2,725.64, 3,762.51 and 1,842.64 is: 2,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.64 : 3,762.51 = 1,842.64 : x
  2. Step 2: Convert to fraction form
    2,725.64/3,762.51 = 1,842.64/x
  3. Step 3: Cross multiply
    2,725.64x = 3,762.51 × 1,842.64
  4. Step 4: Simplify right side
    2,725.64x = 6,932,923.40
  5. Step 5: Solve for x
    x = 6,932,923.40/2,725.64
  6. Step 6: Final answer
    x = 2,543.60

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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.