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Finding the Fourth Proportional to 1,797.57, 2,683.70 and 1,537.67

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Solution

The fourth proportional to 1,797.57, 2,683.70 and 1,537.67 is: 2,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.57 : 2,683.70 = 1,537.67 : x
  2. Step 2: Convert to fraction form
    1,797.57/2,683.70 = 1,537.67/x
  3. Step 3: Cross multiply
    1,797.57x = 2,683.70 × 1,537.67
  4. Step 4: Simplify right side
    1,797.57x = 4,126,623.87
  5. Step 5: Solve for x
    x = 4,126,623.87/1,797.57
  6. Step 6: Final answer
    x = 2,295.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.