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Finding the Fourth Proportional to 2,508.51, 3,461.99 and 1,460.50

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Solution

The fourth proportional to 2,508.51, 3,461.99 and 1,460.50 is: 2,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.51 : 3,461.99 = 1,460.50 : x
  2. Step 2: Convert to fraction form
    2,508.51/3,461.99 = 1,460.50/x
  3. Step 3: Cross multiply
    2,508.51x = 3,461.99 × 1,460.50
  4. Step 4: Simplify right side
    2,508.51x = 5,056,236.40
  5. Step 5: Solve for x
    x = 5,056,236.40/2,508.51
  6. Step 6: Final answer
    x = 2,015.63

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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.