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Finding the Fourth Proportional to 1,815.58, 2,505.78 and 1,029.46

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Solution

The fourth proportional to 1,815.58, 2,505.78 and 1,029.46 is: 1,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.58 : 2,505.78 = 1,029.46 : x
  2. Step 2: Convert to fraction form
    1,815.58/2,505.78 = 1,029.46/x
  3. Step 3: Cross multiply
    1,815.58x = 2,505.78 × 1,029.46
  4. Step 4: Simplify right side
    1,815.58x = 2,579,600.28
  5. Step 5: Solve for x
    x = 2,579,600.28/1,815.58
  6. Step 6: Final answer
    x = 1,420.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.