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Finding the Fourth Proportional to 1,737.55, 2,604.36 and 914.05

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Solution

The fourth proportional to 1,737.55, 2,604.36 and 914.05 is: 1,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.55 : 2,604.36 = 914.05 : x
  2. Step 2: Convert to fraction form
    1,737.55/2,604.36 = 914.05/x
  3. Step 3: Cross multiply
    1,737.55x = 2,604.36 × 914.05
  4. Step 4: Simplify right side
    1,737.55x = 2,380,502.24
  5. Step 5: Solve for x
    x = 2,380,502.24/1,737.55
  6. Step 6: Final answer
    x = 1,370.04

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Why These Related Problems?

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