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Finding the Fourth Proportional to 2,053.36, 2,834.99 and 1,580.39

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Solution

The fourth proportional to 2,053.36, 2,834.99 and 1,580.39 is: 2,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.36 : 2,834.99 = 1,580.39 : x
  2. Step 2: Convert to fraction form
    2,053.36/2,834.99 = 1,580.39/x
  3. Step 3: Cross multiply
    2,053.36x = 2,834.99 × 1,580.39
  4. Step 4: Simplify right side
    2,053.36x = 4,480,389.85
  5. Step 5: Solve for x
    x = 4,480,389.85/2,053.36
  6. Step 6: Final answer
    x = 2,181.98

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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.