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Finding the Fourth Proportional to 1,955.94, 2,700 and 1,209.66

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Solution

The fourth proportional to 1,955.94, 2,700 and 1,209.66 is: 1,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.94 : 2,700 = 1,209.66 : x
  2. Step 2: Convert to fraction form
    1,955.94/2,700 = 1,209.66/x
  3. Step 3: Cross multiply
    1,955.94x = 2,700 × 1,209.66
  4. Step 4: Simplify right side
    1,955.94x = 3,266,082
  5. Step 5: Solve for x
    x = 3,266,082/1,955.94
  6. Step 6: Final answer
    x = 1,669.83

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Why These Related Problems?

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