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Finding the Fourth Proportional to 2,475.52, 3,415.37 and 1,412.52

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Solution

The fourth proportional to 2,475.52, 3,415.37 and 1,412.52 is: 1,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.52 : 3,415.37 = 1,412.52 : x
  2. Step 2: Convert to fraction form
    2,475.52/3,415.37 = 1,412.52/x
  3. Step 3: Cross multiply
    2,475.52x = 3,415.37 × 1,412.52
  4. Step 4: Simplify right side
    2,475.52x = 4,824,258.56
  5. Step 5: Solve for x
    x = 4,824,258.56/2,475.52
  6. Step 6: Final answer
    x = 1,948.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.