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Finding the Fourth Proportional to 1,734.10, 2,602.47 and 1,391.56

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Solution

The fourth proportional to 1,734.10, 2,602.47 and 1,391.56 is: 2,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.10 : 2,602.47 = 1,391.56 : x
  2. Step 2: Convert to fraction form
    1,734.10/2,602.47 = 1,391.56/x
  3. Step 3: Cross multiply
    1,734.10x = 2,602.47 × 1,391.56
  4. Step 4: Simplify right side
    1,734.10x = 3,621,493.15
  5. Step 5: Solve for x
    x = 3,621,493.15/1,734.10
  6. Step 6: Final answer
    x = 2,088.40

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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.