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Finding the Fourth Proportional to 1,563.24, 2,345.10 and 912.60

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Solution

The fourth proportional to 1,563.24, 2,345.10 and 912.60 is: 1,369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.24 : 2,345.10 = 912.60 : x
  2. Step 2: Convert to fraction form
    1,563.24/2,345.10 = 912.60/x
  3. Step 3: Cross multiply
    1,563.24x = 2,345.10 × 912.60
  4. Step 4: Simplify right side
    1,563.24x = 2,140,138.26
  5. Step 5: Solve for x
    x = 2,140,138.26/1,563.24
  6. Step 6: Final answer
    x = 1,369.04

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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.