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Finding the Fourth Proportional to 2,104.92, 2,903.58 and 1,514.70

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Solution

The fourth proportional to 2,104.92, 2,903.58 and 1,514.70 is: 2,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.92 : 2,903.58 = 1,514.70 : x
  2. Step 2: Convert to fraction form
    2,104.92/2,903.58 = 1,514.70/x
  3. Step 3: Cross multiply
    2,104.92x = 2,903.58 × 1,514.70
  4. Step 4: Simplify right side
    2,104.92x = 4,398,052.63
  5. Step 5: Solve for x
    x = 4,398,052.63/2,104.92
  6. Step 6: Final answer
    x = 2,089.42

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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.