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Finding the Fourth Proportional to 1,815.80, 2,505.86 and 1,029.88

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Solution

The fourth proportional to 1,815.80, 2,505.86 and 1,029.88 is: 1,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.80 : 2,505.86 = 1,029.88 : x
  2. Step 2: Convert to fraction form
    1,815.80/2,505.86 = 1,029.88/x
  3. Step 3: Cross multiply
    1,815.80x = 2,505.86 × 1,029.88
  4. Step 4: Simplify right side
    1,815.80x = 2,580,735.10
  5. Step 5: Solve for x
    x = 2,580,735.10/1,815.80
  6. Step 6: Final answer
    x = 1,421.27

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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.