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Finding the Fourth Proportional to 1,734.68, 2,612.30 and 1,563.32

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Solution

The fourth proportional to 1,734.68, 2,612.30 and 1,563.32 is: 2,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.68 : 2,612.30 = 1,563.32 : x
  2. Step 2: Convert to fraction form
    1,734.68/2,612.30 = 1,563.32/x
  3. Step 3: Cross multiply
    1,734.68x = 2,612.30 × 1,563.32
  4. Step 4: Simplify right side
    1,734.68x = 4,083,860.84
  5. Step 5: Solve for x
    x = 4,083,860.84/1,734.68
  6. Step 6: Final answer
    x = 2,354.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.