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Finding the Fourth Proportional to 2,508.58, 3,462.74 and 1,460.64

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Solution

The fourth proportional to 2,508.58, 3,462.74 and 1,460.64 is: 2,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.58 : 3,462.74 = 1,460.64 : x
  2. Step 2: Convert to fraction form
    2,508.58/3,462.74 = 1,460.64/x
  3. Step 3: Cross multiply
    2,508.58x = 3,462.74 × 1,460.64
  4. Step 4: Simplify right side
    2,508.58x = 5,057,816.55
  5. Step 5: Solve for x
    x = 5,057,816.55/2,508.58
  6. Step 6: Final answer
    x = 2,016.21

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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.