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Finding the Fourth Proportional to 1,563.18, 2,346.57 and 795.30

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Solution

The fourth proportional to 1,563.18, 2,346.57 and 795.30 is: 1,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.18 : 2,346.57 = 795.30 : x
  2. Step 2: Convert to fraction form
    1,563.18/2,346.57 = 795.30/x
  3. Step 3: Cross multiply
    1,563.18x = 2,346.57 × 795.30
  4. Step 4: Simplify right side
    1,563.18x = 1,866,227.12
  5. Step 5: Solve for x
    x = 1,866,227.12/1,563.18
  6. Step 6: Final answer
    x = 1,193.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.