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Finding the Fourth Proportional to 1,709.92, 2,563.76 and 613.72

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Solution

The fourth proportional to 1,709.92, 2,563.76 and 613.72 is: 920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.92 : 2,563.76 = 613.72 : x
  2. Step 2: Convert to fraction form
    1,709.92/2,563.76 = 613.72/x
  3. Step 3: Cross multiply
    1,709.92x = 2,563.76 × 613.72
  4. Step 4: Simplify right side
    1,709.92x = 1,573,430.79
  5. Step 5: Solve for x
    x = 1,573,430.79/1,709.92
  6. Step 6: Final answer
    x = 920.18

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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.