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Finding the Fourth Proportional to 2,335.08, 3,222.64 and 1,287.14

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Solution

The fourth proportional to 2,335.08, 3,222.64 and 1,287.14 is: 1,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.08 : 3,222.64 = 1,287.14 : x
  2. Step 2: Convert to fraction form
    2,335.08/3,222.64 = 1,287.14/x
  3. Step 3: Cross multiply
    2,335.08x = 3,222.64 × 1,287.14
  4. Step 4: Simplify right side
    2,335.08x = 4,147,985.23
  5. Step 5: Solve for x
    x = 4,147,985.23/2,335.08
  6. Step 6: Final answer
    x = 1,776.38

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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.