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Finding the Fourth Proportional to 2,287.63, 3,157.65 and 1,459.63

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Solution

The fourth proportional to 2,287.63, 3,157.65 and 1,459.63 is: 2,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.63 : 3,157.65 = 1,459.63 : x
  2. Step 2: Convert to fraction form
    2,287.63/3,157.65 = 1,459.63/x
  3. Step 3: Cross multiply
    2,287.63x = 3,157.65 × 1,459.63
  4. Step 4: Simplify right side
    2,287.63x = 4,608,977.58
  5. Step 5: Solve for x
    x = 4,608,977.58/2,287.63
  6. Step 6: Final answer
    x = 2,014.74

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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.