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Finding the Fourth Proportional to 2,474.58, 3,415.68 and 1,427.34

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Solution

The fourth proportional to 2,474.58, 3,415.68 and 1,427.34 is: 1,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.58 : 3,415.68 = 1,427.34 : x
  2. Step 2: Convert to fraction form
    2,474.58/3,415.68 = 1,427.34/x
  3. Step 3: Cross multiply
    2,474.58x = 3,415.68 × 1,427.34
  4. Step 4: Simplify right side
    2,474.58x = 4,875,336.69
  5. Step 5: Solve for x
    x = 4,875,336.69/2,474.58
  6. Step 6: Final answer
    x = 1,970.17

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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.