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Finding the Fourth Proportional to 2,511.16, 3,465.51 and 1,670.51

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Solution

The fourth proportional to 2,511.16, 3,465.51 and 1,670.51 is: 2,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.16 : 3,465.51 = 1,670.51 : x
  2. Step 2: Convert to fraction form
    2,511.16/3,465.51 = 1,670.51/x
  3. Step 3: Cross multiply
    2,511.16x = 3,465.51 × 1,670.51
  4. Step 4: Simplify right side
    2,511.16x = 5,789,171.51
  5. Step 5: Solve for x
    x = 5,789,171.51/2,511.16
  6. Step 6: Final answer
    x = 2,305.38

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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.