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Finding the Fourth Proportional to 1,674.92, 2,509.97 and 736.74

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Solution

The fourth proportional to 1,674.92, 2,509.97 and 736.74 is: 1,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.92 : 2,509.97 = 736.74 : x
  2. Step 2: Convert to fraction form
    1,674.92/2,509.97 = 736.74/x
  3. Step 3: Cross multiply
    1,674.92x = 2,509.97 × 736.74
  4. Step 4: Simplify right side
    1,674.92x = 1,849,191.61
  5. Step 5: Solve for x
    x = 1,849,191.61/1,674.92
  6. Step 6: Final answer
    x = 1,104.05

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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.