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Finding the Fourth Proportional to 2,195.84, 3,031.54 and 1,900.64

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Solution

The fourth proportional to 2,195.84, 3,031.54 and 1,900.64 is: 2,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.84 : 3,031.54 = 1,900.64 : x
  2. Step 2: Convert to fraction form
    2,195.84/3,031.54 = 1,900.64/x
  3. Step 3: Cross multiply
    2,195.84x = 3,031.54 × 1,900.64
  4. Step 4: Simplify right side
    2,195.84x = 5,761,866.19
  5. Step 5: Solve for x
    x = 5,761,866.19/2,195.84
  6. Step 6: Final answer
    x = 2,623.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.