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Finding the Fourth Proportional to 2,675.16, 3,693.15 and 2,464.38

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Solution

The fourth proportional to 2,675.16, 3,693.15 and 2,464.38 is: 3,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.16 : 3,693.15 = 2,464.38 : x
  2. Step 2: Convert to fraction form
    2,675.16/3,693.15 = 2,464.38/x
  3. Step 3: Cross multiply
    2,675.16x = 3,693.15 × 2,464.38
  4. Step 4: Simplify right side
    2,675.16x = 9,101,325.00
  5. Step 5: Solve for x
    x = 9,101,325.00/2,675.16
  6. Step 6: Final answer
    x = 3,402.16

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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.