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Finding the Fourth Proportional to 2,130.30, 3,195.45 and 897.38

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Solution

The fourth proportional to 2,130.30, 3,195.45 and 897.38 is: 1,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.30 : 3,195.45 = 897.38 : x
  2. Step 2: Convert to fraction form
    2,130.30/3,195.45 = 897.38/x
  3. Step 3: Cross multiply
    2,130.30x = 3,195.45 × 897.38
  4. Step 4: Simplify right side
    2,130.30x = 2,867,528.93
  5. Step 5: Solve for x
    x = 2,867,528.93/2,130.30
  6. Step 6: Final answer
    x = 1,346.07

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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.