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Finding the Fourth Proportional to 2,130.32, 3,195.63 and 897.86

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Solution

The fourth proportional to 2,130.32, 3,195.63 and 897.86 is: 1,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.32 : 3,195.63 = 897.86 : x
  2. Step 2: Convert to fraction form
    2,130.32/3,195.63 = 897.86/x
  3. Step 3: Cross multiply
    2,130.32x = 3,195.63 × 897.86
  4. Step 4: Simplify right side
    2,130.32x = 2,869,212.37
  5. Step 5: Solve for x
    x = 2,869,212.37/2,130.32
  6. Step 6: Final answer
    x = 1,346.85

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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.