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Finding the Fourth Proportional to 2,079.54, 3,130.92 and 1,434.51

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Solution

The fourth proportional to 2,079.54, 3,130.92 and 1,434.51 is: 2,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.54 : 3,130.92 = 1,434.51 : x
  2. Step 2: Convert to fraction form
    2,079.54/3,130.92 = 1,434.51/x
  3. Step 3: Cross multiply
    2,079.54x = 3,130.92 × 1,434.51
  4. Step 4: Simplify right side
    2,079.54x = 4,491,336.05
  5. Step 5: Solve for x
    x = 4,491,336.05/2,079.54
  6. Step 6: Final answer
    x = 2,159.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.