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Finding the Fourth Proportional to 2,123.94, 2,932.38 and 1,368.06

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Solution

The fourth proportional to 2,123.94, 2,932.38 and 1,368.06 is: 1,888.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.94 : 2,932.38 = 1,368.06 : x
  2. Step 2: Convert to fraction form
    2,123.94/2,932.38 = 1,368.06/x
  3. Step 3: Cross multiply
    2,123.94x = 2,932.38 × 1,368.06
  4. Step 4: Simplify right side
    2,123.94x = 4,011,671.78
  5. Step 5: Solve for x
    x = 4,011,671.78/2,123.94
  6. Step 6: Final answer
    x = 1,888.79

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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.