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Finding the Fourth Proportional to 2,662.94, 3,670.21 and 2,357.47

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Solution

The fourth proportional to 2,662.94, 3,670.21 and 2,357.47 is: 3,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.94 : 3,670.21 = 2,357.47 : x
  2. Step 2: Convert to fraction form
    2,662.94/3,670.21 = 2,357.47/x
  3. Step 3: Cross multiply
    2,662.94x = 3,670.21 × 2,357.47
  4. Step 4: Simplify right side
    2,662.94x = 8,652,417.50
  5. Step 5: Solve for x
    x = 8,652,417.50/2,662.94
  6. Step 6: Final answer
    x = 3,249.19

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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.