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Finding the Fourth Proportional to 2,707.72, 3,734.50 and 1,658.76

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Solution

The fourth proportional to 2,707.72, 3,734.50 and 1,658.76 is: 2,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.72 : 3,734.50 = 1,658.76 : x
  2. Step 2: Convert to fraction form
    2,707.72/3,734.50 = 1,658.76/x
  3. Step 3: Cross multiply
    2,707.72x = 3,734.50 × 1,658.76
  4. Step 4: Simplify right side
    2,707.72x = 6,194,639.22
  5. Step 5: Solve for x
    x = 6,194,639.22/2,707.72
  6. Step 6: Final answer
    x = 2,287.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.