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Finding the Fourth Proportional to 2,491.42, 3,737.54 and 847.80

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Solution

The fourth proportional to 2,491.42, 3,737.54 and 847.80 is: 1,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.42 : 3,737.54 = 847.80 : x
  2. Step 2: Convert to fraction form
    2,491.42/3,737.54 = 847.80/x
  3. Step 3: Cross multiply
    2,491.42x = 3,737.54 × 847.80
  4. Step 4: Simplify right side
    2,491.42x = 3,168,686.41
  5. Step 5: Solve for x
    x = 3,168,686.41/2,491.42
  6. Step 6: Final answer
    x = 1,271.84

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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.