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Finding the Fourth Proportional to 1,858.56, 2,563.47 and 1,578.35

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Solution

The fourth proportional to 1,858.56, 2,563.47 and 1,578.35 is: 2,176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.56 : 2,563.47 = 1,578.35 : x
  2. Step 2: Convert to fraction form
    1,858.56/2,563.47 = 1,578.35/x
  3. Step 3: Cross multiply
    1,858.56x = 2,563.47 × 1,578.35
  4. Step 4: Simplify right side
    1,858.56x = 4,046,059.28
  5. Step 5: Solve for x
    x = 4,046,059.28/1,858.56
  6. Step 6: Final answer
    x = 2,176.99

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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.