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Finding the Fourth Proportional to 2,518.71, 3,475.41 and 1,456.58

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Solution

The fourth proportional to 2,518.71, 3,475.41 and 1,456.58 is: 2,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.71 : 3,475.41 = 1,456.58 : x
  2. Step 2: Convert to fraction form
    2,518.71/3,475.41 = 1,456.58/x
  3. Step 3: Cross multiply
    2,518.71x = 3,475.41 × 1,456.58
  4. Step 4: Simplify right side
    2,518.71x = 5,062,196.73
  5. Step 5: Solve for x
    x = 5,062,196.73/2,518.71
  6. Step 6: Final answer
    x = 2,009.84

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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.