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Finding the Fourth Proportional to 2,807.52, 4,186.80 and 2,462.48

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Solution

The fourth proportional to 2,807.52, 4,186.80 and 2,462.48 is: 3,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.52 : 4,186.80 = 2,462.48 : x
  2. Step 2: Convert to fraction form
    2,807.52/4,186.80 = 2,462.48/x
  3. Step 3: Cross multiply
    2,807.52x = 4,186.80 × 2,462.48
  4. Step 4: Simplify right side
    2,807.52x = 10,309,911.26
  5. Step 5: Solve for x
    x = 10,309,911.26/2,807.52
  6. Step 6: Final answer
    x = 3,672.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.