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Finding the Fourth Proportional to 2,130.03, 3,193.72 and 896.80

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Solution

The fourth proportional to 2,130.03, 3,193.72 and 896.80 is: 1,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.03 : 3,193.72 = 896.80 : x
  2. Step 2: Convert to fraction form
    2,130.03/3,193.72 = 896.80/x
  3. Step 3: Cross multiply
    2,130.03x = 3,193.72 × 896.80
  4. Step 4: Simplify right side
    2,130.03x = 2,864,123.61
  5. Step 5: Solve for x
    x = 2,864,123.61/2,130.03
  6. Step 6: Final answer
    x = 1,344.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.