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Finding the Fourth Proportional to 2,104.05, 2,898.99 and 1,513.56

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Solution

The fourth proportional to 2,104.05, 2,898.99 and 1,513.56 is: 2,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.05 : 2,898.99 = 1,513.56 : x
  2. Step 2: Convert to fraction form
    2,104.05/2,898.99 = 1,513.56/x
  3. Step 3: Cross multiply
    2,104.05x = 2,898.99 × 1,513.56
  4. Step 4: Simplify right side
    2,104.05x = 4,387,795.30
  5. Step 5: Solve for x
    x = 4,387,795.30/2,104.05
  6. Step 6: Final answer
    x = 2,085.40

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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.