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Finding the Fourth Proportional to 2,514.94, 3,470.06 and 1,520.04

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Solution

The fourth proportional to 2,514.94, 3,470.06 and 1,520.04 is: 2,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.94 : 3,470.06 = 1,520.04 : x
  2. Step 2: Convert to fraction form
    2,514.94/3,470.06 = 1,520.04/x
  3. Step 3: Cross multiply
    2,514.94x = 3,470.06 × 1,520.04
  4. Step 4: Simplify right side
    2,514.94x = 5,274,630.00
  5. Step 5: Solve for x
    x = 5,274,630.00/2,514.94
  6. Step 6: Final answer
    x = 2,097.32

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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.