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Finding the Fourth Proportional to 1,931.94, 2,899.53 and 1,549.62

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Solution

The fourth proportional to 1,931.94, 2,899.53 and 1,549.62 is: 2,325.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.94 : 2,899.53 = 1,549.62 : x
  2. Step 2: Convert to fraction form
    1,931.94/2,899.53 = 1,549.62/x
  3. Step 3: Cross multiply
    1,931.94x = 2,899.53 × 1,549.62
  4. Step 4: Simplify right side
    1,931.94x = 4,493,169.68
  5. Step 5: Solve for x
    x = 4,493,169.68/1,931.94
  6. Step 6: Final answer
    x = 2,325.73

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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.