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Finding the Fourth Proportional to 3,026.72, 4,530.32 and 1,563.86

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Solution

The fourth proportional to 3,026.72, 4,530.32 and 1,563.86 is: 2,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.72 : 4,530.32 = 1,563.86 : x
  2. Step 2: Convert to fraction form
    3,026.72/4,530.32 = 1,563.86/x
  3. Step 3: Cross multiply
    3,026.72x = 4,530.32 × 1,563.86
  4. Step 4: Simplify right side
    3,026.72x = 7,084,795.61
  5. Step 5: Solve for x
    x = 7,084,795.61/3,026.72
  6. Step 6: Final answer
    x = 2,340.75

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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.